diff --git a/assets/package.json b/assets/package.json
index 04bbe05..e83caec 100644
--- a/assets/package.json
+++ b/assets/package.json
@@ -26,7 +26,7 @@
     "tw-animate-css": "^1.4.0"
   },
   "devDependencies": {
-    "@antfu/eslint-config": "^7.7.0",
+    "@antfu/eslint-config": "^8.0.0",
     "@eslint-react/eslint-plugin": "^2.13.0",
     "@playwright/test": "^1.58.2",
     "@tailwindcss/vite": "^4.2.1",
diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index a599ae3..6df0285 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -48,8 +48,8 @@ importers:
         version: 1.4.0
     devDependencies:
       '@antfu/eslint-config':
-        specifier: ^7.7.0
-        version: 7.7.0(@eslint-react/eslint-plugin@2.13.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(@typescript-eslint/rule-tester@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.57.0(typescript@5.9.3))(@typescript-eslint/utils@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(@vue/compiler-sfc@3.5.30)(eslint-plugin-react-hooks@7.0.1(eslint@10.0.3(jiti@2.6.1)))(eslint-plugin-react-refresh@0.5.2(eslint@10.0.3(jiti@2.6.1)))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
+        specifier: ^8.0.0
+        version: 8.0.0(@eslint-react/eslint-plugin@2.13.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(@typescript-eslint/rule-tester@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.58.0(typescript@5.9.3))(@typescript-eslint/utils@8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(@vue/compiler-sfc@3.5.30)(eslint-plugin-react-refresh@0.5.2(eslint@10.0.3(jiti@2.6.1)))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
       '@eslint-react/eslint-plugin':
         specifier: ^2.13.0
         version: 2.13.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
@@ -92,14 +92,14 @@ importers:
 
 packages:
 
-  '@antfu/eslint-config@7.7.0':
-    resolution: {integrity: sha512-lkxb84o8z4v1+me51XlrHHF6zvOZfvTu6Y11t6h6v17JSMl9yoNHwC0Sqp/NfMTHie/LGgjyXOupXpQCXxfs1Q==}
+  '@antfu/eslint-config@8.0.0':
+    resolution: {integrity: sha512-IKiCfsa1vRgj8srB2azqiN3nOAcVyP/TZ5Ibiz0TDW9NoQPizTvkmRTSi1vo4ax0SL9TH/8uJLK6uCfd6bQzLA==}
     hasBin: true
     peerDependencies:
       '@angular-eslint/eslint-plugin': ^21.1.0
       '@angular-eslint/eslint-plugin-template': ^21.1.0
       '@angular-eslint/template-parser': ^21.1.0
-      '@eslint-react/eslint-plugin': ^2.11.0
+      '@eslint-react/eslint-plugin': ^3.0.0
       '@next/eslint-plugin-next': '>=15.0.0'
       '@prettier/plugin-xml': ^3.4.1
       '@unocss/eslint-plugin': '>=0.50.0'
@@ -108,7 +108,6 @@ packages:
       eslint-plugin-astro: ^1.2.0
       eslint-plugin-format: '>=0.1.0'
       eslint-plugin-jsx-a11y: '>=6.10.2'
-      eslint-plugin-react-hooks: ^7.0.0
       eslint-plugin-react-refresh: ^0.5.0
       eslint-plugin-solid: ^0.14.3
       eslint-plugin-svelte: '>=2.35.1'
@@ -139,8 +138,6 @@ packages:
         optional: true
       eslint-plugin-jsx-a11y:
         optional: true
-      eslint-plugin-react-hooks:
-        optional: true
       eslint-plugin-react-refresh:
         optional: true
       eslint-plugin-solid:
@@ -304,21 +301,21 @@ packages:
     resolution: {integrity: sha512-LwdZHpScM4Qz8Xw2iKSzS+cfglZzJGvofQICy7W7v4caru4EaAmyUuO6BGrbyQ2mYV11W0U8j5mBhd14dd3B0A==}
     engines: {node: '>=6.9.0'}
 
-  '@clack/core@1.1.0':
-    resolution: {integrity: sha512-SVcm4Dqm2ukn64/8Gub2wnlA5nS2iWJyCkdNHcvNHPIeBTGojpdJ+9cZKwLfmqy7irD4N5qLteSilJlE0WLAtA==}
+  '@clack/core@1.2.0':
+    resolution: {integrity: sha512-qfxof/3T3t9DPU/Rj3OmcFyZInceqj/NVtO9rwIuJqCUgh32gwPjpFQQp/ben07qKlhpwq7GzfWpST4qdJ5Drg==}
 
-  '@clack/prompts@1.1.0':
-    resolution: {integrity: sha512-pkqbPGtohJAvm4Dphs2M8xE29ggupihHdy1x84HNojZuMtFsHiUlRvqD24tM2+XmI+61LlfNceM3Wr7U5QES5g==}
+  '@clack/prompts@1.2.0':
+    resolution: {integrity: sha512-4jmztR9fMqPMjz6H/UZXj0zEmE43ha1euENwkckKKel4XpSfokExPo5AiVStdHSAlHekz4d0CA/r45Ok1E4D3w==}
 
   '@dotenvx/dotenvx@1.54.1':
     resolution: {integrity: sha512-41gU3q7v05GM92QPuPUf4CmUw+mmF8p4wLUh6MCRlxpCkJ9ByLcY9jUf6MwrMNmiKyG/rIckNxj9SCfmNCmCqw==}
     hasBin: true
 
-  '@e18e/eslint-plugin@0.2.0':
-    resolution: {integrity: sha512-mXgODVwhuDjTJ+UT+XSvmMmCidtGKfrV5nMIv1UtpWex2pYLsIM3RSpT8HWIMAebS9qANbXPKlSX4BE7ZvuCgA==}
+  '@e18e/eslint-plugin@0.3.0':
+    resolution: {integrity: sha512-hHgfpxsrZ2UYHcicA+tGZnmk19uJTaye9VH79O+XS8R4ona2Hx3xjhXghclNW58uXMk3xXlbYEOMr8thsoBmWg==}
     peerDependencies:
       eslint: ^9.0.0 || ^10.0.0
-      oxlint: ^1.41.0
+      oxlint: ^1.55.0
     peerDependenciesMeta:
       eslint:
         optional: true
@@ -335,6 +332,10 @@ packages:
     resolution: {integrity: sha512-0xew1CxOam0gV5OMjh2KjFQZsKL2bByX1+q4j3E73MpYIdyUxcZb/xQct9ccUb+ve5KGUYbCUxyPnYB7RbuP+w==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
+  '@es-joy/jsdoccomment@0.86.0':
+    resolution: {integrity: sha512-ukZmRQ81WiTpDWO6D/cTBM7XbrNtutHKvAVnZN/8pldAwLoJArGOvkNyxPTBGsPjsoaQBJxlH+tE2TNA/92Qgw==}
+    engines: {node: ^20.19.0 || ^22.13.0 || >=24}
+
   '@es-joy/resolve.exports@1.2.0':
     resolution: {integrity: sha512-Q9hjxWI5xBM+qW2enxfe8wDKdFWMfd0Z29k5ZJnuBqD/CasY5Zryj09aCA6owbGATWz+39p5uIdaHXpopOcG8g==}
     engines: {node: '>=10'}
@@ -567,26 +568,18 @@ packages:
     resolution: {integrity: sha512-lzGN0onllOZCGroKJmRwY6QcEHxbjBw1gwB8SgRSqK8YbbtEXMvKynsXc3553ckIEBxsbMBU7oOZXKIPGZNeZw==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
-  '@eslint/core@0.17.0':
-    resolution: {integrity: sha512-yL/sLrpmtDaFEiUj1osRP4TI2MDz1AddJL+jZ7KSqvBuliN4xqYY54IfdN8qD8Toa6g1iloph1fxQNkjOxrrpQ==}
-    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
-
   '@eslint/core@1.1.1':
     resolution: {integrity: sha512-QUPblTtE51/7/Zhfv8BDwO0qkkzQL7P/aWWbqcf4xWLEYn1oKjdO0gglQBB4GAsu7u6wjijbCmzsUTy6mnk6oQ==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
-  '@eslint/markdown@7.5.1':
-    resolution: {integrity: sha512-R8uZemG9dKTbru/DQRPblbJyXpObwKzo8rv1KYGGuPUPtjM4LXBYM9q5CIZAComzZupws3tWbDwam5AFpPLyJQ==}
-    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+  '@eslint/markdown@8.0.1':
+    resolution: {integrity: sha512-WWKmld/EyNdEB8GMq7JMPX1SDWgyJAM1uhtCi5ySrqYQM4HQjmg11EX/q3ZpnpRXHfdccFtli3NBvvGaYjWyQw==}
+    engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
   '@eslint/object-schema@3.0.3':
     resolution: {integrity: sha512-iM869Pugn9Nsxbh/YHRqYiqd23AmIbxJOcpUMOuWCVNdoQJ5ZtwL6h3t0bcZzJUlC3Dq9jCFCESBZnX0GTv7iQ==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
-  '@eslint/plugin-kit@0.4.1':
-    resolution: {integrity: sha512-43/qtrDUokr7LJqoF2c3+RInu/t4zfrpYdoSDfYyhg52rwLV6TnOvdG4fXm7IkSB3wErkcmJS9iEhjVtOSEjjA==}
-    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
-
   '@eslint/plugin-kit@0.6.1':
     resolution: {integrity: sha512-iH1B076HoAshH1mLpHMgwdGeTs0CYwL0SPMkGuSebZrwBp16v415e9NZXg2jtrqPVQjf6IANe2Vtlr5KswtcZQ==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
@@ -1478,66 +1471,79 @@ packages:
     resolution: {integrity: sha512-t4ONHboXi/3E0rT6OZl1pKbl2Vgxf9vJfWgmUoCEVQVxhW6Cw/c8I6hbbu7DAvgp82RKiH7TpLwxnJeKv2pbsw==}
     cpu: [arm]
     os: [linux]
+    libc: [glibc]
 
   '@rollup/rollup-linux-arm-musleabihf@4.59.0':
     resolution: {integrity: sha512-CikFT7aYPA2ufMD086cVORBYGHffBo4K8MQ4uPS/ZnY54GKj36i196u8U+aDVT2LX4eSMbyHtyOh7D7Zvk2VvA==}
     cpu: [arm]
     os: [linux]
+    libc: [musl]
 
   '@rollup/rollup-linux-arm64-gnu@4.59.0':
     resolution: {integrity: sha512-jYgUGk5aLd1nUb1CtQ8E+t5JhLc9x5WdBKew9ZgAXg7DBk0ZHErLHdXM24rfX+bKrFe+Xp5YuJo54I5HFjGDAA==}
     cpu: [arm64]
     os: [linux]
+    libc: [glibc]
 
   '@rollup/rollup-linux-arm64-musl@4.59.0':
     resolution: {integrity: sha512-peZRVEdnFWZ5Bh2KeumKG9ty7aCXzzEsHShOZEFiCQlDEepP1dpUl/SrUNXNg13UmZl+gzVDPsiCwnV1uI0RUA==}
     cpu: [arm64]
     os: [linux]
+    libc: [musl]
 
   '@rollup/rollup-linux-loong64-gnu@4.59.0':
     resolution: {integrity: sha512-gbUSW/97f7+r4gHy3Jlup8zDG190AuodsWnNiXErp9mT90iCy9NKKU0Xwx5k8VlRAIV2uU9CsMnEFg/xXaOfXg==}
     cpu: [loong64]
     os: [linux]
+    libc: [glibc]
 
   '@rollup/rollup-linux-loong64-musl@4.59.0':
     resolution: {integrity: sha512-yTRONe79E+o0FWFijasoTjtzG9EBedFXJMl888NBEDCDV9I2wGbFFfJQQe63OijbFCUZqxpHz1GzpbtSFikJ4Q==}
     cpu: [loong64]
     os: [linux]
+    libc: [musl]
 
   '@rollup/rollup-linux-ppc64-gnu@4.59.0':
     resolution: {integrity: sha512-sw1o3tfyk12k3OEpRddF68a1unZ5VCN7zoTNtSn2KndUE+ea3m3ROOKRCZxEpmT9nsGnogpFP9x6mnLTCaoLkA==}
     cpu: [ppc64]
     os: [linux]
+    libc: [glibc]
 
   '@rollup/rollup-linux-ppc64-musl@4.59.0':
     resolution: {integrity: sha512-+2kLtQ4xT3AiIxkzFVFXfsmlZiG5FXYW7ZyIIvGA7Bdeuh9Z0aN4hVyXS/G1E9bTP/vqszNIN/pUKCk/BTHsKA==}
     cpu: [ppc64]
     os: [linux]
+    libc: [musl]
 
   '@rollup/rollup-linux-riscv64-gnu@4.59.0':
     resolution: {integrity: sha512-NDYMpsXYJJaj+I7UdwIuHHNxXZ/b/N2hR15NyH3m2qAtb/hHPA4g4SuuvrdxetTdndfj9b1WOmy73kcPRoERUg==}
     cpu: [riscv64]
     os: [linux]
+    libc: [glibc]
 
   '@rollup/rollup-linux-riscv64-musl@4.59.0':
     resolution: {integrity: sha512-nLckB8WOqHIf1bhymk+oHxvM9D3tyPndZH8i8+35p/1YiVoVswPid2yLzgX7ZJP0KQvnkhM4H6QZ5m0LzbyIAg==}
     cpu: [riscv64]
     os: [linux]
+    libc: [musl]
 
   '@rollup/rollup-linux-s390x-gnu@4.59.0':
     resolution: {integrity: sha512-oF87Ie3uAIvORFBpwnCvUzdeYUqi2wY6jRFWJAy1qus/udHFYIkplYRW+wo+GRUP4sKzYdmE1Y3+rY5Gc4ZO+w==}
     cpu: [s390x]
     os: [linux]
+    libc: [glibc]
 
   '@rollup/rollup-linux-x64-gnu@4.59.0':
     resolution: {integrity: sha512-3AHmtQq/ppNuUspKAlvA8HtLybkDflkMuLK4DPo77DfthRb71V84/c4MlWJXixZz4uruIH4uaa07IqoAkG64fg==}
     cpu: [x64]
     os: [linux]
+    libc: [glibc]
 
   '@rollup/rollup-linux-x64-musl@4.59.0':
     resolution: {integrity: sha512-2UdiwS/9cTAx7qIUZB/fWtToJwvt0Vbo0zmnYt7ED35KPg13Q0ym1g442THLC7VyI6JfYTP4PiSOWyoMdV2/xg==}
     cpu: [x64]
     os: [linux]
+    libc: [musl]
 
   '@rollup/rollup-openbsd-x64@4.59.0':
     resolution: {integrity: sha512-M3bLRAVk6GOwFlPTIxVBSYKUaqfLrn8l0psKinkCFxl4lQvOSz8ZrKDz2gxcBwHFpci0B6rttydI4IpS4IS/jQ==}
@@ -1624,24 +1630,28 @@ packages:
     engines: {node: '>= 20'}
     cpu: [arm64]
     os: [linux]
+    libc: [glibc]
 
   '@tailwindcss/oxide-linux-arm64-musl@4.2.1':
     resolution: {integrity: sha512-WZA0CHRL/SP1TRbA5mp9htsppSEkWuQ4KsSUumYQnyl8ZdT39ntwqmz4IUHGN6p4XdSlYfJwM4rRzZLShHsGAQ==}
     engines: {node: '>= 20'}
     cpu: [arm64]
     os: [linux]
+    libc: [musl]
 
   '@tailwindcss/oxide-linux-x64-gnu@4.2.1':
     resolution: {integrity: sha512-qMFzxI2YlBOLW5PhblzuSWlWfwLHaneBE0xHzLrBgNtqN6mWfs+qYbhryGSXQjFYB1Dzf5w+LN5qbUTPhW7Y5g==}
     engines: {node: '>= 20'}
     cpu: [x64]
     os: [linux]
+    libc: [glibc]
 
   '@tailwindcss/oxide-linux-x64-musl@4.2.1':
     resolution: {integrity: sha512-5r1X2FKnCMUPlXTWRYpHdPYUY6a1Ar/t7P24OuiEdEOmms5lyqjDRvVY1yy9Rmioh+AunQ0rWiOTPE8F9A3v5g==}
     engines: {node: '>= 20'}
     cpu: [x64]
     os: [linux]
+    libc: [musl]
 
   '@tailwindcss/oxide-wasm32-wasi@4.2.1':
     resolution: {integrity: sha512-MGFB5cVPvshR85MTJkEvqDUnuNoysrsRxd6vnk1Lf2tbiqNlXpHYZqkqOQalydienEWOHHFyyuTSYRsLfxFJ2Q==}
@@ -1700,9 +1710,15 @@ packages:
   '@types/estree@1.0.8':
     resolution: {integrity: sha512-dWHzHa2WqEXI/O1E9OjrocMTKJl2mSrEolh1Iomrv6U+JuNwaHXsXx9bLu5gG7BUWFIN0skIQJQ/L1rIex4X6w==}
 
+  '@types/hast@3.0.4':
+    resolution: {integrity: sha512-WPs+bbQw5aCj+x6laNGWLH3wviHtoCv/P3+otBhbOhJgG8qtpdAMlTCxLtsTWA7LH1Oh/bFCHsBn0TPS5m30EQ==}
+
   '@types/json-schema@7.0.15':
     resolution: {integrity: sha512-5+fP8P8MFNC+AyZCDxrB2pkZFPGzqQWUzpSeuuVLvm8VMcorNYavBqoFcxK8bQz4Qsbn4oUEEem4wDLfcysGHA==}
 
+  '@types/katex@0.16.8':
+    resolution: {integrity: sha512-trgaNyfU+Xh2Tc+ABIb44a5AYUpicB3uwirOioeOkNPPbmgRNtcWyDeeFRzjPZENO9Vq8gvVqfhaaXWLlevVwg==}
+
   '@types/lodash-es@4.17.12':
     resolution: {integrity: sha512-0NgftHUcV4v34VhXm8QBSftKVXtbkBG3ViCjs6+eJ5a6y6Mi/jiFGPc1sC7QK+9BFhWrURE3EOggmWaSxL9OzQ==}
 
@@ -1735,13 +1751,13 @@ packages:
   '@types/validate-npm-package-name@4.0.2':
     resolution: {integrity: sha512-lrpDziQipxCEeK5kWxvljWYhUvOiB2A9izZd9B2AFarYAkqZshb4lPbRs7zKEic6eGtH8V/2qJW+dPp9OtF6bw==}
 
-  '@typescript-eslint/eslint-plugin@8.57.0':
-    resolution: {integrity: sha512-qeu4rTHR3/IaFORbD16gmjq9+rEs9fGKdX0kF6BKSfi+gCuG3RCKLlSBYzn/bGsY9Tj7KE/DAQStbp8AHJGHEQ==}
+  '@typescript-eslint/eslint-plugin@8.58.0':
+    resolution: {integrity: sha512-RLkVSiNuUP1C2ROIWfqX+YcUfLaSnxGE/8M+Y57lopVwg9VTYYfhuz15Yf1IzCKgZj6/rIbYTmJCUSqr76r0Wg==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
-      '@typescript-eslint/parser': ^8.57.0
+      '@typescript-eslint/parser': ^8.58.0
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
-      typescript: '>=4.8.4 <6.0.0'
+      typescript: '>=4.8.4 <6.1.0'
 
   '@typescript-eslint/parser@8.57.0':
     resolution: {integrity: sha512-XZzOmihLIr8AD1b9hL9ccNMzEMWt/dE2u7NyTY9jJG6YNiNthaD5XtUHVF2uCXZ15ng+z2hT3MVuxnUYhq6k1g==}
@@ -1750,12 +1766,25 @@ packages:
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
       typescript: '>=4.8.4 <6.0.0'
 
+  '@typescript-eslint/parser@8.58.0':
+    resolution: {integrity: sha512-rLoGZIf9afaRBYsPUMtvkDWykwXwUPL60HebR4JgTI8mxfFe2cQTu3AGitANp4b9B2QlVru6WzjgB2IzJKiCSA==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+    peerDependencies:
+      eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
+      typescript: '>=4.8.4 <6.1.0'
+
   '@typescript-eslint/project-service@8.57.0':
     resolution: {integrity: sha512-pR+dK0BlxCLxtWfaKQWtYr7MhKmzqZxuii+ZjuFlZlIGRZm22HnXFqa2eY+90MUz8/i80YJmzFGDUsi8dMOV5w==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
       typescript: '>=4.8.4 <6.0.0'
 
+  '@typescript-eslint/project-service@8.58.0':
+    resolution: {integrity: sha512-8Q/wBPWLQP1j16NxoPNIKpDZFMaxl7yWIoqXWYeWO+Bbd2mjgvoF0dxP2jKZg5+x49rgKdf7Ck473M8PC3V9lg==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+    peerDependencies:
+      typescript: '>=4.8.4 <6.1.0'
+
   '@typescript-eslint/rule-tester@8.57.0':
     resolution: {integrity: sha512-qs4OapXmAIj3so85/20lQG1WrBSSvDE/3b42Orl3lpZkaOlNXtbfKzL+9EPaY5wSEgdlhKEpympAMFHPG9i72Q==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
@@ -1766,12 +1795,22 @@ packages:
     resolution: {integrity: sha512-nvExQqAHF01lUM66MskSaZulpPL5pgy5hI5RfrxviLgzZVffB5yYzw27uK/ft8QnKXI2X0LBrHJFr1TaZtAibw==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
+  '@typescript-eslint/scope-manager@8.58.0':
+    resolution: {integrity: sha512-W1Lur1oF50FxSnNdGp3Vs6P+yBRSmZiw4IIjEeYxd8UQJwhUF0gDgDD/W/Tgmh73mxgEU3qX0Bzdl/NGuSPEpQ==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+
   '@typescript-eslint/tsconfig-utils@8.57.0':
     resolution: {integrity: sha512-LtXRihc5ytjJIQEH+xqjB0+YgsV4/tW35XKX3GTZHpWtcC8SPkT/d4tqdf1cKtesryHm2bgp6l555NYcT2NLvA==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
       typescript: '>=4.8.4 <6.0.0'
 
+  '@typescript-eslint/tsconfig-utils@8.58.0':
+    resolution: {integrity: sha512-doNSZEVJsWEu4htiVC+PR6NpM+pa+a4ClH9INRWOWCUzMst/VA9c4gXq92F8GUD1rwhNvRLkgjfYtFXegXQF7A==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+    peerDependencies:
+      typescript: '>=4.8.4 <6.1.0'
+
   '@typescript-eslint/type-utils@8.57.0':
     resolution: {integrity: sha512-yjgh7gmDcJ1+TcEg8x3uWQmn8ifvSupnPfjP21twPKrDP/pTHlEQgmKcitzF/rzPSmv7QjJ90vRpN4U+zoUjwQ==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
@@ -1779,16 +1818,33 @@ packages:
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
       typescript: '>=4.8.4 <6.0.0'
 
+  '@typescript-eslint/type-utils@8.58.0':
+    resolution: {integrity: sha512-aGsCQImkDIqMyx1u4PrVlbi/krmDsQUs4zAcCV6M7yPcPev+RqVlndsJy9kJ8TLihW9TZ0kbDAzctpLn5o+lOg==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+    peerDependencies:
+      eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
+      typescript: '>=4.8.4 <6.1.0'
+
   '@typescript-eslint/types@8.57.0':
     resolution: {integrity: sha512-dTLI8PEXhjUC7B9Kre+u0XznO696BhXcTlOn0/6kf1fHaQW8+VjJAVHJ3eTI14ZapTxdkOmc80HblPQLaEeJdg==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
+  '@typescript-eslint/types@8.58.0':
+    resolution: {integrity: sha512-O9CjxypDT89fbHxRfETNoAnHj/i6IpRK0CvbVN3qibxlLdo5p5hcLmUuCCrHMpxiWSwKyI8mCP7qRNYuOJ0Uww==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+
   '@typescript-eslint/typescript-estree@8.57.0':
     resolution: {integrity: sha512-m7faHcyVg0BT3VdYTlX8GdJEM7COexXxS6KqGopxdtkQRvBanK377QDHr4W/vIPAR+ah9+B/RclSW5ldVniO1Q==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
       typescript: '>=4.8.4 <6.0.0'
 
+  '@typescript-eslint/typescript-estree@8.58.0':
+    resolution: {integrity: sha512-7vv5UWbHqew/dvs+D3e1RvLv1v2eeZ9txRHPnEEBUgSNLx5ghdzjHa0sgLWYVKssH+lYmV0JaWdoubo0ncGYLA==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+    peerDependencies:
+      typescript: '>=4.8.4 <6.1.0'
+
   '@typescript-eslint/utils@8.57.0':
     resolution: {integrity: sha512-5iIHvpD3CZe06riAsbNxxreP+MuYgVUsV0n4bwLH//VJmgtt54sQeY2GszntJ4BjYCpMzrfVh2SBnUQTtys2lQ==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
@@ -1796,24 +1852,38 @@ packages:
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
       typescript: '>=4.8.4 <6.0.0'
 
+  '@typescript-eslint/utils@8.58.0':
+    resolution: {integrity: sha512-RfeSqcFeHMHlAWzt4TBjWOAtoW9lnsAGiP3GbaX9uVgTYYrMbVnGONEfUCiSss+xMHFl+eHZiipmA8WkQ7FuNA==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+    peerDependencies:
+      eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
+      typescript: '>=4.8.4 <6.1.0'
+
   '@typescript-eslint/visitor-keys@8.57.0':
     resolution: {integrity: sha512-zm6xx8UT/Xy2oSr2ZXD0pZo7Jx2XsCoID2IUh9YSTFRu7z+WdwYTRk6LhUftm1crwqbuoF6I8zAFeCMw0YjwDg==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
+  '@typescript-eslint/visitor-keys@8.58.0':
+    resolution: {integrity: sha512-XJ9UD9+bbDo4a4epraTwG3TsNPeiB9aShrUneAVXy8q4LuwowN+qu89/6ByLMINqvIMeI9H9hOHQtg/ijrYXzQ==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+
   '@vitejs/plugin-react@5.1.4':
     resolution: {integrity: sha512-VIcFLdRi/VYRU8OL/puL7QXMYafHmqOnwTZY50U1JPlCNj30PxCMx65c494b1K9be9hX83KVt0+gTEwTWLqToA==}
     engines: {node: ^20.19.0 || >=22.12.0}
     peerDependencies:
       vite: ^4.2.0 || ^5.0.0 || ^6.0.0 || ^7.0.0
 
-  '@vitest/eslint-plugin@1.6.10':
-    resolution: {integrity: sha512-/cOf+mTu4HBJIYHTETo8/OFCSZv3T2p+KfGnouzKfjK063cWLZp0TzvK7EU5B3eFG7ypUNtw6l+jK+SA+p1g8g==}
+  '@vitest/eslint-plugin@1.6.14':
+    resolution: {integrity: sha512-PXZ5ysw4eHU9h8nDtBvVcGC7Z2C/T9CFdheqSw1NNXFYqViojub0V9bgdYI67iBTOcra2mwD0EYldlY9bGPf2Q==}
     engines: {node: '>=18'}
     peerDependencies:
+      '@typescript-eslint/eslint-plugin': '*'
       eslint: '>=8.57.0'
       typescript: '>=5.0.0'
       vitest: '*'
     peerDependenciesMeta:
+      '@typescript-eslint/eslint-plugin':
+        optional: true
       typescript:
         optional: true
       vitest:
@@ -2035,10 +2105,18 @@ packages:
     resolution: {integrity: sha512-H+y0Jo/T1RZ9qPP4Eh1pkcQcLRglraJaSLoyOtHxu6AapkjWVCy2Sit1QQ4x3Dng8qDlSsZEet7g5Pq06MvTgw==}
     engines: {node: '>=20'}
 
+  commander@8.3.0:
+    resolution: {integrity: sha512-OkTL9umf+He2DZkUq8f8J9of7yL6RJKI24dVITBmNfZBmri9zYZQrKkuXiKhyfPSu8tUhnVBB1iKXevvnlR4Ww==}
+    engines: {node: '>= 12'}
+
   comment-parser@1.4.5:
     resolution: {integrity: sha512-aRDkn3uyIlCFfk5NUA+VdwMmMsh8JGhc4hapfV4yxymHGQ3BVskMQfoXGpCo5IoBuQ9tS5iiVKhCpTcB4pW4qw==}
     engines: {node: '>= 12.0.0'}
 
+  comment-parser@1.4.6:
+    resolution: {integrity: sha512-ObxuY6vnbWTN6Od72xfwN9DbzC7Y2vv8u1Soi9ahRKL37gb6y1qk6/dgjs+3JWuXJHWvsg3BXIwzd/rkmAwavg==}
+    engines: {node: '>= 12.0.0'}
+
   compare-versions@6.1.1:
     resolution: {integrity: sha512-4hm4VPpIecmlg59CHXnRDnqGplJFrbLG4aFEl5vl6cK1u76ws3LLvX7ikFnTDl5vo39sjWD6AaDPYodJp/NNHg==}
 
@@ -2071,8 +2149,8 @@ packages:
     resolution: {integrity: sha512-ei8Aos7ja0weRpFzJnEA9UHJ/7XQmqglbRwnf2ATjcB9Wq874VKH9kfjjirM6UhU2/E5fFYadylyhFldcqSidQ==}
     engines: {node: '>=18'}
 
-  core-js-compat@3.48.0:
-    resolution: {integrity: sha512-OM4cAF3D6VtH/WkLtWvyNC56EZVXsZdU3iqaMG2B4WvYrlqU831pc4UtG5yp0sE9z8Y02wVN7PjW5Zf9Gt0f1Q==}
+  core-js-compat@3.49.0:
+    resolution: {integrity: sha512-VQXt1jr9cBz03b331DFDCCP90b3fanciLkgiOoy8SBHy06gNf+vQ1A3WFLqG7I8TipYIKeYK9wxd0tUrvHcOZA==}
 
   cors@2.8.6:
     resolution: {integrity: sha512-tJtZBBHA6vjIAaF6EnIaq6laBBP9aq/Y3ouVJjEfoHbRBcHBAHYcMh/w8LDrk2PvIMMq8gmopa5D4V8RmbrxGw==}
@@ -2265,16 +2343,16 @@ packages:
     peerDependencies:
       eslint: '>=6.0.0'
 
-  eslint-config-flat-gitignore@2.2.1:
-    resolution: {integrity: sha512-wA5EqN0era7/7Gt5Botlsfin/UNY0etJSEeBgbUlFLFrBi47rAN//+39fI7fpYcl8RENutlFtvp/zRa/M/pZNg==}
+  eslint-config-flat-gitignore@2.3.0:
+    resolution: {integrity: sha512-bg4ZLGgoARg1naWfsINUUb/52Ksw/K22K+T16D38Y8v+/sGwwIYrGvH/JBjOin+RQtxxC9tzNNiy4shnGtGyyQ==}
     peerDependencies:
       eslint: ^9.5.0 || ^10.0.0
 
-  eslint-flat-config-utils@3.0.2:
-    resolution: {integrity: sha512-mPvevWSDQFwgABvyCurwIu6ZdKxGI5NW22/BGDwA1T49NO6bXuxbV9VfJK/tkQoNyPogT6Yu1d57iM0jnZVWmg==}
+  eslint-flat-config-utils@3.1.0:
+    resolution: {integrity: sha512-lM+Nwo2CzpuTS/RASQExlEIwk/BQoKqJWX6VbDlLMb/mveqvt9MMrRXFEkG3bseuK6g8noKZLeX82epkILtv4A==}
 
-  eslint-json-compat-utils@0.2.2:
-    resolution: {integrity: sha512-KcTUifi8VSSHkrOY0FzB7smuTZRU9T2nCrcCy6k2b+Q77+uylBQVIxN4baVCIWvWJEpud+IsrYgco4JJ6io05g==}
+  eslint-json-compat-utils@0.2.3:
+    resolution: {integrity: sha512-RbBmDFyu7FqnjE8F0ZxPNzx5UaptdeS9Uu50r7A+D7s/+FCX+ybiyViYEgFUaFIFqSWJgZRTpL5d8Kanxxl2lQ==}
     engines: {node: '>=12'}
     peerDependencies:
       '@eslint/json': '*'
@@ -2313,20 +2391,20 @@ packages:
     peerDependencies:
       eslint: '>=8'
 
-  eslint-plugin-import-lite@0.5.2:
-    resolution: {integrity: sha512-XvfdWOC5dSLEI9krIPRlNmKSI2ViIE9pVylzfV9fCq0ZpDaNeUk6o0wZv0OzN83QdadgXp1NsY0qjLINxwYCsw==}
+  eslint-plugin-import-lite@0.6.0:
+    resolution: {integrity: sha512-80vevx2A7i3H7n1/6pqDO8cc5wRz6OwLDvIyVl9UflBV1N1f46e9Ihzi65IOLYoSxM6YykK2fTw1xm0Ixx6aTQ==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
-      eslint: '>=9.0.0'
+      eslint: ^9.0.0 || ^10.0.0
 
-  eslint-plugin-jsdoc@62.7.1:
-    resolution: {integrity: sha512-4Zvx99Q7d1uggYBUX/AIjvoyqXhluGbbKrRmG8SQTLprPFg6fa293tVJH1o1GQwNe3lUydd8ZHzn37OaSncgSQ==}
+  eslint-plugin-jsdoc@62.9.0:
+    resolution: {integrity: sha512-PY7/X4jrVgoIDncUmITlUqK546Ltmx/Pd4Hdsu4CvSjryQZJI2mEV4vrdMufyTetMiZ5taNSqvK//BTgVUlNkA==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
     peerDependencies:
       eslint: ^7.0.0 || ^8.0.0 || ^9.0.0 || ^10.0.0
 
-  eslint-plugin-jsonc@3.1.1:
-    resolution: {integrity: sha512-7TSQO8ZyvOuXWb0sYke3KUSh0DJA4/QviKfuzD3/Cy3XDjtrIrTWQbjb7j/Yy2l/DgwuM+lCS2c/jqJifv5jhg==}
+  eslint-plugin-jsonc@3.1.2:
+    resolution: {integrity: sha512-dopTxdB22iuOkgKyJCupEC5IYBItUT4J/teq1H5ddUObcaYhOURxtJElZczdcYnnKCghNU/vccuyPkliy2Wxsg==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
     peerDependencies:
       eslint: '>=9.38.0'
@@ -2341,8 +2419,8 @@ packages:
     resolution: {integrity: sha512-brcKcxGnISN2CcVhXJ/kEQlNa0MEfGRtwKtWA16SkqXHKitaKIMrfemJKLKX1YqDU5C/5JY3PvZXd5jEW04e0Q==}
     engines: {node: '>=5.0.0'}
 
-  eslint-plugin-perfectionist@5.6.0:
-    resolution: {integrity: sha512-pxrLrfRp5wl1Vol1fAEa/G5yTXxefTPJjz07qC7a8iWFXcOZNuWBItMQ2OtTzfQIvMq6bMyYcrzc3Wz++na55Q==}
+  eslint-plugin-perfectionist@5.8.0:
+    resolution: {integrity: sha512-k8uIptWIxkUclonCFGyDzgYs9NI+Qh0a7cUXS3L7IYZDEsjXuimFBVbxXPQQngWqMiaxJRwbtYB4smMGMqF+cw==}
     engines: {node: ^20.0.0 || >=22.0.0}
     peerDependencies:
       eslint: ^8.45.0 || ^9.0.0 || ^10.0.0
@@ -2417,8 +2495,8 @@ packages:
     peerDependencies:
       eslint: '>=9.38.0'
 
-  eslint-plugin-unicorn@63.0.0:
-    resolution: {integrity: sha512-Iqecl9118uQEXYh7adylgEmGfkn5es3/mlQTLLkd4pXkIk9CTGrAbeUux+YljSa2ohXCBmQQ0+Ej1kZaFgcfkA==}
+  eslint-plugin-unicorn@64.0.0:
+    resolution: {integrity: sha512-rNZwalHh8i0UfPlhNwg5BTUO1CMdKNmjqe+TgzOTZnpKoi8VBgsW7u9qCHIdpxEzZ1uwrJrPF0uRb7l//K38gA==}
     engines: {node: ^20.10.0 || >=21.0.0}
     peerDependencies:
       eslint: '>=9.38.0'
@@ -2562,9 +2640,18 @@ packages:
   fast-levenshtein@2.0.6:
     resolution: {integrity: sha512-DCXu6Ifhqcks7TZKY3Hxp3y6qphY5SJZmrWMDrKcERSOXWQdMhU9Ig/PYrzyw/ul9jOIyh0N4M0tbC5hodg8dw==}
 
+  fast-string-truncated-width@1.2.1:
+    resolution: {integrity: sha512-Q9acT/+Uu3GwGj+5w/zsGuQjh9O1TyywhIwAxHudtWrgF09nHOPrvTLhQevPbttcxjr/SNN7mJmfOw/B1bXgow==}
+
+  fast-string-width@1.1.0:
+    resolution: {integrity: sha512-O3fwIVIH5gKB38QNbdg+3760ZmGz0SZMgvwJbA1b2TGXceKE6A2cOlfogh1iw8lr049zPyd7YADHy+B7U4W9bQ==}
+
   fast-uri@3.1.0:
     resolution: {integrity: sha512-iPeeDKJSWf4IEOasVVrknXpaBV0IApz/gp7S2bb7Z4Lljbl2MGJRqInZiUrQwV16cpzw/D3S5j5Julj/gT52AA==}
 
+  fast-wrap-ansi@0.1.6:
+    resolution: {integrity: sha512-HlUwET7a5gqjURj70D5jl7aC3Zmy4weA1SHUfM0JFI0Ptq987NH2TwbBFLoERhfwk+E+eaq4EK3jXoT+R3yp3w==}
+
   fastq@1.20.1:
     resolution: {integrity: sha512-GGToxJ/w1x32s/D2EKND7kTil4n8OVk/9mycTc4VDza13lOvpUZTGX3mFSCtV9ksdGBVzvsyAVLM6mHFThxXxw==}
 
@@ -2721,10 +2808,6 @@ packages:
     resolution: {integrity: sha512-7ACyT3wmyp3I61S4fG682L0VA2RGD9otkqGJIwNUMF1SWUombIIk+af1unuDYgMm082aHYwD+mzJvv9Iu8dsgg==}
     engines: {node: '>=18'}
 
-  globals@16.5.0:
-    resolution: {integrity: sha512-c/c15i26VrJ4IRt5Z89DnIzCGDn9EcebibhAOjw5ibqEHsE1wLUgkPn9RDmNcUKyU87GeaL633nyJ+pplFR2ZQ==}
-    engines: {node: '>=18'}
-
   globals@17.4.0:
     resolution: {integrity: sha512-hjrNztw/VajQwOLsMNT1cbJiH2muO3OROCHnbehc8eY5JyD2gqz4AcMHPqgaOR59DjgUjYAYLeH699g/eWi2jw==}
     engines: {node: '>=18'}
@@ -2932,6 +3015,10 @@ packages:
     resolution: {integrity: sha512-/2uqY7x6bsrpi3i9LVU6J89352C0rpMk0as8trXxCtvd4kPk1ke/Eyif6wqfSLvoNJqcDG9Vk4UsXgygzCt2xA==}
     engines: {node: '>=20.0.0'}
 
+  jsdoc-type-pratt-parser@7.2.0:
+    resolution: {integrity: sha512-dh140MMgjyg3JhJZY/+iEzW+NO5xR2gpbDFKHqotCmexElVntw7GjWjt511+C/Ef02RU5TKYrJo/Xlzk+OLaTw==}
+    engines: {node: '>=20.0.0'}
+
   jsesc@3.1.0:
     resolution: {integrity: sha512-/sM3dO2FOzXjKQhJuo0Q173wf2KOo8t4I8vHy6lF9poUp7bKT0/NHE8fPX23PwfhnykfqnC2xRxOnVw5XuGIaA==}
     engines: {node: '>=6'}
@@ -2967,6 +3054,10 @@ packages:
   jsonfile@6.2.0:
     resolution: {integrity: sha512-FGuPw30AdOIUTRMC2OMRtQV+jkVj2cfPqSeWXv1NEAJ1qZ5zb1X6z1mFhbfOB/iy3ssJCD+3KuZ8r8C3uVFlAg==}
 
+  katex@0.16.45:
+    resolution: {integrity: sha512-pQpZbdBu7wCTmQUh7ufPmLr0pFoObnGUoL/yhtwJDgmmQpbkg/0HSVti25Fu4rmd1oCR6NGWe9vqTWuWv3GcNA==}
+    hasBin: true
+
   keyv@4.5.4:
     resolution: {integrity: sha512-oxVHkHR/EJf2CNXnWxRLW6mg7JyCCUcG0DtEGmL2ctUo1PNTin1PUil+r/+4r5MpVgC/fn1kjsx7mjSujKqIpw==}
 
@@ -3020,24 +3111,28 @@ packages:
     engines: {node: '>= 12.0.0'}
     cpu: [arm64]
     os: [linux]
+    libc: [glibc]
 
   lightningcss-linux-arm64-musl@1.31.1:
     resolution: {integrity: sha512-mVZ7Pg2zIbe3XlNbZJdjs86YViQFoJSpc41CbVmKBPiGmC4YrfeOyz65ms2qpAobVd7WQsbW4PdsSJEMymyIMg==}
     engines: {node: '>= 12.0.0'}
     cpu: [arm64]
     os: [linux]
+    libc: [musl]
 
   lightningcss-linux-x64-gnu@1.31.1:
     resolution: {integrity: sha512-xGlFWRMl+0KvUhgySdIaReQdB4FNudfUTARn7q0hh/V67PVGCs3ADFjw+6++kG1RNd0zdGRlEKa+T13/tQjPMA==}
     engines: {node: '>= 12.0.0'}
     cpu: [x64]
     os: [linux]
+    libc: [glibc]
 
   lightningcss-linux-x64-musl@1.31.1:
     resolution: {integrity: sha512-eowF8PrKHw9LpoZii5tdZwnBcYDxRw2rRCyvAXLi34iyeYfqCQNA9rmUM0ce62NlPhCvof1+9ivRaTY6pSKDaA==}
     engines: {node: '>= 12.0.0'}
     cpu: [x64]
     os: [linux]
+    libc: [musl]
 
   lightningcss-win32-arm64-msvc@1.31.1:
     resolution: {integrity: sha512-aJReEbSEQzx1uBlQizAOBSjcmr9dCdL3XuC/6HLXAxmtErsj2ICo5yYggg1qOODQMtnjNQv2UHb9NpOuFtYe4w==}
@@ -3124,6 +3219,9 @@ packages:
   mdast-util-gfm@3.1.0:
     resolution: {integrity: sha512-0ulfdQOM3ysHhCJ1p06l0b0VKlhU0wuQs3thxZQagjcjPrlFRqY215uZGHHJan9GEAXd9MbfPjFJz+qMkVR6zQ==}
 
+  mdast-util-math@3.0.0:
+    resolution: {integrity: sha512-Tl9GBNeG/AhJnQM221bJR2HPvLOSnLE/T9cJI9tlc6zwQk2nPk/4f0cHkOdEixQPC/j8UtKDdITswvLAy1OZ1w==}
+
   mdast-util-phrasing@4.1.0:
     resolution: {integrity: sha512-TqICwyvJJpBwvGAMZjj4J2n0X8QWp21b9l0o7eXyVJ25YNWYbJDVIyD1bZXE6WtV6RmKJVYmQAKWa0zWOABz2w==}
 
@@ -3175,6 +3273,9 @@ packages:
   micromark-extension-gfm@3.0.0:
     resolution: {integrity: sha512-vsKArQsicm7t0z2GugkCKtZehqUm31oeGBV/KVSorWSy8ZlNAv7ytjFhvaryUiCUJYqs+NoE6AFhpQvBTM6Q4w==}
 
+  micromark-extension-math@3.1.0:
+    resolution: {integrity: sha512-lvEqd+fHjATVs+2v/8kg9i5Q0AP2k85H0WUOwpIVvUML8BapsMvh1XAogmQjOCsLpoKRCVQqEkQBB3NhVBcsOg==}
+
   micromark-factory-destination@2.0.1:
     resolution: {integrity: sha512-Xe6rDdJlkmbFRExpTOmRj9N3MaWmbAgdpSrBQvCFqhezUn4AHqJHbaEnfbVYYiexVSs//tqOdY/DxhjdCiJnIA==}
 
@@ -3848,6 +3949,12 @@ packages:
     peerDependencies:
       typescript: '>=4.8.4'
 
+  ts-api-utils@2.5.0:
+    resolution: {integrity: sha512-OJ/ibxhPlqrMM0UiNHJ/0CKQkoKF243/AEmplt3qpRgkW8VG7IfOS41h7V8TjITqdByHzrjcS/2si+y4lIh8NA==}
+    engines: {node: '>=18.12'}
+    peerDependencies:
+      typescript: '>=4.8.4'
+
   ts-declaration-location@1.0.7:
     resolution: {integrity: sha512-EDyGAwH1gO0Ausm9gV6T2nUvBgXT5kGoCMJPllOaooZ+4VvJiKBdZE7wK18N1deEowhcUptS+5GXZK8U/fvpwA==}
     peerDependencies:
@@ -3899,6 +4006,9 @@ packages:
   unist-util-is@6.0.1:
     resolution: {integrity: sha512-LsiILbtBETkDz8I9p1dQ0uyRUWuaQzd/cuEeS1hoRSyW5E5XGmTzlwY1OrNzzakGowI9Dr/I8HVaw4hTtnxy8g==}
 
+  unist-util-remove-position@5.0.0:
+    resolution: {integrity: sha512-Hp5Kh3wLxv0PHj9m2yZhhLt58KzPtEYKQQ4yxfYFEO7EvHwzyDYnduhHnY1mDxoqr7VUwVuHXk9RXKIiYS1N8Q==}
+
   unist-util-stringify-position@4.0.0:
     resolution: {integrity: sha512-0ASV06AAoKCDkS2+xw5RXJywruurpbC4JZSm7nr7MOt1ojAzvyyaO+UxZf18j8FCF6kmzCZKcAgN/yu2gm2XgQ==}
 
@@ -4102,37 +4212,37 @@ packages:
 
 snapshots:
 
-  '@antfu/eslint-config@7.7.0(@eslint-react/eslint-plugin@2.13.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(@typescript-eslint/rule-tester@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.57.0(typescript@5.9.3))(@typescript-eslint/utils@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(@vue/compiler-sfc@3.5.30)(eslint-plugin-react-hooks@7.0.1(eslint@10.0.3(jiti@2.6.1)))(eslint-plugin-react-refresh@0.5.2(eslint@10.0.3(jiti@2.6.1)))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)':
+  '@antfu/eslint-config@8.0.0(@eslint-react/eslint-plugin@2.13.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(@typescript-eslint/rule-tester@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.58.0(typescript@5.9.3))(@typescript-eslint/utils@8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(@vue/compiler-sfc@3.5.30)(eslint-plugin-react-refresh@0.5.2(eslint@10.0.3(jiti@2.6.1)))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)':
     dependencies:
       '@antfu/install-pkg': 1.1.0
-      '@clack/prompts': 1.1.0
-      '@e18e/eslint-plugin': 0.2.0(eslint@10.0.3(jiti@2.6.1))
+      '@clack/prompts': 1.2.0
+      '@e18e/eslint-plugin': 0.3.0(eslint@10.0.3(jiti@2.6.1))
       '@eslint-community/eslint-plugin-eslint-comments': 4.7.1(eslint@10.0.3(jiti@2.6.1))
-      '@eslint/markdown': 7.5.1
+      '@eslint/markdown': 8.0.1
       '@stylistic/eslint-plugin': 5.10.0(eslint@10.0.3(jiti@2.6.1))
-      '@typescript-eslint/eslint-plugin': 8.57.0(@typescript-eslint/parser@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
-      '@typescript-eslint/parser': 8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
-      '@vitest/eslint-plugin': 1.6.10(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
+      '@typescript-eslint/eslint-plugin': 8.58.0(@typescript-eslint/parser@8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
+      '@typescript-eslint/parser': 8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
+      '@vitest/eslint-plugin': 1.6.14(@typescript-eslint/eslint-plugin@8.58.0(@typescript-eslint/parser@8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
       ansis: 4.2.0
       cac: 7.0.0
       eslint: 10.0.3(jiti@2.6.1)
-      eslint-config-flat-gitignore: 2.2.1(eslint@10.0.3(jiti@2.6.1))
-      eslint-flat-config-utils: 3.0.2
+      eslint-config-flat-gitignore: 2.3.0(eslint@10.0.3(jiti@2.6.1))
+      eslint-flat-config-utils: 3.1.0
       eslint-merge-processors: 2.0.0(eslint@10.0.3(jiti@2.6.1))
       eslint-plugin-antfu: 3.2.2(eslint@10.0.3(jiti@2.6.1))
-      eslint-plugin-command: 3.5.2(@typescript-eslint/rule-tester@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.57.0(typescript@5.9.3))(@typescript-eslint/utils@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))
-      eslint-plugin-import-lite: 0.5.2(eslint@10.0.3(jiti@2.6.1))
-      eslint-plugin-jsdoc: 62.7.1(eslint@10.0.3(jiti@2.6.1))
-      eslint-plugin-jsonc: 3.1.1(eslint@10.0.3(jiti@2.6.1))
+      eslint-plugin-command: 3.5.2(@typescript-eslint/rule-tester@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.58.0(typescript@5.9.3))(@typescript-eslint/utils@8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))
+      eslint-plugin-import-lite: 0.6.0(eslint@10.0.3(jiti@2.6.1))
+      eslint-plugin-jsdoc: 62.9.0(eslint@10.0.3(jiti@2.6.1))
+      eslint-plugin-jsonc: 3.1.2(eslint@10.0.3(jiti@2.6.1))
       eslint-plugin-n: 17.24.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
       eslint-plugin-no-only-tests: 3.3.0
-      eslint-plugin-perfectionist: 5.6.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
+      eslint-plugin-perfectionist: 5.8.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
       eslint-plugin-pnpm: 1.6.0(eslint@10.0.3(jiti@2.6.1))
       eslint-plugin-regexp: 3.1.0(eslint@10.0.3(jiti@2.6.1))
       eslint-plugin-toml: 1.3.1(eslint@10.0.3(jiti@2.6.1))
-      eslint-plugin-unicorn: 63.0.0(eslint@10.0.3(jiti@2.6.1))
-      eslint-plugin-unused-imports: 4.4.1(@typescript-eslint/eslint-plugin@8.57.0(@typescript-eslint/parser@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))
-      eslint-plugin-vue: 10.8.0(@stylistic/eslint-plugin@5.10.0(eslint@10.0.3(jiti@2.6.1)))(@typescript-eslint/parser@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(vue-eslint-parser@10.4.0(eslint@10.0.3(jiti@2.6.1)))
+      eslint-plugin-unicorn: 64.0.0(eslint@10.0.3(jiti@2.6.1))
+      eslint-plugin-unused-imports: 4.4.1(@typescript-eslint/eslint-plugin@8.58.0(@typescript-eslint/parser@8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))
+      eslint-plugin-vue: 10.8.0(@stylistic/eslint-plugin@5.10.0(eslint@10.0.3(jiti@2.6.1)))(@typescript-eslint/parser@8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(vue-eslint-parser@10.4.0(eslint@10.0.3(jiti@2.6.1)))
       eslint-plugin-yml: 3.3.1(eslint@10.0.3(jiti@2.6.1))
       eslint-processor-vue-blocks: 2.0.0(@vue/compiler-sfc@3.5.30)(eslint@10.0.3(jiti@2.6.1))
       globals: 17.4.0
@@ -4143,7 +4253,6 @@ snapshots:
       yaml-eslint-parser: 2.0.0
     optionalDependencies:
       '@eslint-react/eslint-plugin': 2.13.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
-      eslint-plugin-react-hooks: 7.0.1(eslint@10.0.3(jiti@2.6.1))
       eslint-plugin-react-refresh: 0.5.2(eslint@10.0.3(jiti@2.6.1))
     transitivePeerDependencies:
       - '@eslint/json'
@@ -4364,13 +4473,16 @@ snapshots:
       '@babel/helper-string-parser': 7.27.1
       '@babel/helper-validator-identifier': 7.28.5
 
-  '@clack/core@1.1.0':
+  '@clack/core@1.2.0':
     dependencies:
+      fast-wrap-ansi: 0.1.6
       sisteransi: 1.0.5
 
-  '@clack/prompts@1.1.0':
+  '@clack/prompts@1.2.0':
     dependencies:
-      '@clack/core': 1.1.0
+      '@clack/core': 1.2.0
+      fast-string-width: 1.1.0
+      fast-wrap-ansi: 0.1.6
       sisteransi: 1.0.5
 
   '@dotenvx/dotenvx@1.54.1':
@@ -4385,7 +4497,7 @@ snapshots:
       picomatch: 4.0.3
       which: 4.0.0
 
-  '@e18e/eslint-plugin@0.2.0(eslint@10.0.3(jiti@2.6.1))':
+  '@e18e/eslint-plugin@0.3.0(eslint@10.0.3(jiti@2.6.1))':
     dependencies:
       eslint-plugin-depend: 1.5.0(eslint@10.0.3(jiti@2.6.1))
     optionalDependencies:
@@ -4403,6 +4515,14 @@ snapshots:
       esquery: 1.7.0
       jsdoc-type-pratt-parser: 7.1.1
 
+  '@es-joy/jsdoccomment@0.86.0':
+    dependencies:
+      '@types/estree': 1.0.8
+      '@typescript-eslint/types': 8.58.0
+      comment-parser: 1.4.6
+      esquery: 1.7.0
+      jsdoc-type-pratt-parser: 7.2.0
+
   '@es-joy/resolve.exports@1.2.0': {}
 
   '@esbuild/aix-ppc64@0.27.3':
@@ -4588,35 +4708,28 @@ snapshots:
     dependencies:
       '@eslint/core': 1.1.1
 
-  '@eslint/core@0.17.0':
-    dependencies:
-      '@types/json-schema': 7.0.15
-
   '@eslint/core@1.1.1':
     dependencies:
       '@types/json-schema': 7.0.15
 
-  '@eslint/markdown@7.5.1':
+  '@eslint/markdown@8.0.1':
     dependencies:
-      '@eslint/core': 0.17.0
-      '@eslint/plugin-kit': 0.4.1
+      '@eslint/core': 1.1.1
+      '@eslint/plugin-kit': 0.6.1
       github-slugger: 2.0.0
       mdast-util-from-markdown: 2.0.3
       mdast-util-frontmatter: 2.0.1
       mdast-util-gfm: 3.1.0
+      mdast-util-math: 3.0.0
       micromark-extension-frontmatter: 2.0.0
       micromark-extension-gfm: 3.0.0
+      micromark-extension-math: 3.1.0
       micromark-util-normalize-identifier: 2.0.1
     transitivePeerDependencies:
       - supports-color
 
   '@eslint/object-schema@3.0.3': {}
 
-  '@eslint/plugin-kit@0.4.1':
-    dependencies:
-      '@eslint/core': 0.17.0
-      levn: 0.4.1
-
   '@eslint/plugin-kit@0.6.1':
     dependencies:
       '@eslint/core': 1.1.1
@@ -5735,8 +5848,14 @@ snapshots:
 
   '@types/estree@1.0.8': {}
 
+  '@types/hast@3.0.4':
+    dependencies:
+      '@types/unist': 3.0.3
+
   '@types/json-schema@7.0.15': {}
 
+  '@types/katex@0.16.8': {}
+
   '@types/lodash-es@4.17.12':
     dependencies:
       '@types/lodash': 4.17.24
@@ -5767,18 +5886,18 @@ snapshots:
 
   '@types/validate-npm-package-name@4.0.2': {}
 
-  '@typescript-eslint/eslint-plugin@8.57.0(@typescript-eslint/parser@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)':
+  '@typescript-eslint/eslint-plugin@8.58.0(@typescript-eslint/parser@8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)':
     dependencies:
       '@eslint-community/regexpp': 4.12.2
-      '@typescript-eslint/parser': 8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
-      '@typescript-eslint/scope-manager': 8.57.0
-      '@typescript-eslint/type-utils': 8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
-      '@typescript-eslint/utils': 8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
-      '@typescript-eslint/visitor-keys': 8.57.0
+      '@typescript-eslint/parser': 8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
+      '@typescript-eslint/scope-manager': 8.58.0
+      '@typescript-eslint/type-utils': 8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
+      '@typescript-eslint/utils': 8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
+      '@typescript-eslint/visitor-keys': 8.58.0
       eslint: 10.0.3(jiti@2.6.1)
       ignore: 7.0.5
       natural-compare: 1.4.0
-      ts-api-utils: 2.4.0(typescript@5.9.3)
+      ts-api-utils: 2.5.0(typescript@5.9.3)
       typescript: 5.9.3
     transitivePeerDependencies:
       - supports-color
@@ -5795,6 +5914,18 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
+  '@typescript-eslint/parser@8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)':
+    dependencies:
+      '@typescript-eslint/scope-manager': 8.58.0
+      '@typescript-eslint/types': 8.58.0
+      '@typescript-eslint/typescript-estree': 8.58.0(typescript@5.9.3)
+      '@typescript-eslint/visitor-keys': 8.58.0
+      debug: 4.4.3
+      eslint: 10.0.3(jiti@2.6.1)
+      typescript: 5.9.3
+    transitivePeerDependencies:
+      - supports-color
+
   '@typescript-eslint/project-service@8.57.0(typescript@5.9.3)':
     dependencies:
       '@typescript-eslint/tsconfig-utils': 8.57.0(typescript@5.9.3)
@@ -5804,6 +5935,15 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
+  '@typescript-eslint/project-service@8.58.0(typescript@5.9.3)':
+    dependencies:
+      '@typescript-eslint/tsconfig-utils': 8.58.0(typescript@5.9.3)
+      '@typescript-eslint/types': 8.58.0
+      debug: 4.4.3
+      typescript: 5.9.3
+    transitivePeerDependencies:
+      - supports-color
+
   '@typescript-eslint/rule-tester@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)':
     dependencies:
       '@typescript-eslint/parser': 8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
@@ -5823,10 +5963,19 @@ snapshots:
       '@typescript-eslint/types': 8.57.0
       '@typescript-eslint/visitor-keys': 8.57.0
 
+  '@typescript-eslint/scope-manager@8.58.0':
+    dependencies:
+      '@typescript-eslint/types': 8.58.0
+      '@typescript-eslint/visitor-keys': 8.58.0
+
   '@typescript-eslint/tsconfig-utils@8.57.0(typescript@5.9.3)':
     dependencies:
       typescript: 5.9.3
 
+  '@typescript-eslint/tsconfig-utils@8.58.0(typescript@5.9.3)':
+    dependencies:
+      typescript: 5.9.3
+
   '@typescript-eslint/type-utils@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)':
     dependencies:
       '@typescript-eslint/types': 8.57.0
@@ -5839,8 +5988,22 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
+  '@typescript-eslint/type-utils@8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)':
+    dependencies:
+      '@typescript-eslint/types': 8.58.0
+      '@typescript-eslint/typescript-estree': 8.58.0(typescript@5.9.3)
+      '@typescript-eslint/utils': 8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
+      debug: 4.4.3
+      eslint: 10.0.3(jiti@2.6.1)
+      ts-api-utils: 2.5.0(typescript@5.9.3)
+      typescript: 5.9.3
+    transitivePeerDependencies:
+      - supports-color
+
   '@typescript-eslint/types@8.57.0': {}
 
+  '@typescript-eslint/types@8.58.0': {}
+
   '@typescript-eslint/typescript-estree@8.57.0(typescript@5.9.3)':
     dependencies:
       '@typescript-eslint/project-service': 8.57.0(typescript@5.9.3)
@@ -5856,6 +6019,21 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
+  '@typescript-eslint/typescript-estree@8.58.0(typescript@5.9.3)':
+    dependencies:
+      '@typescript-eslint/project-service': 8.58.0(typescript@5.9.3)
+      '@typescript-eslint/tsconfig-utils': 8.58.0(typescript@5.9.3)
+      '@typescript-eslint/types': 8.58.0
+      '@typescript-eslint/visitor-keys': 8.58.0
+      debug: 4.4.3
+      minimatch: 10.2.4
+      semver: 7.7.4
+      tinyglobby: 0.2.15
+      ts-api-utils: 2.5.0(typescript@5.9.3)
+      typescript: 5.9.3
+    transitivePeerDependencies:
+      - supports-color
+
   '@typescript-eslint/utils@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)':
     dependencies:
       '@eslint-community/eslint-utils': 4.9.1(eslint@10.0.3(jiti@2.6.1))
@@ -5867,11 +6045,27 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
+  '@typescript-eslint/utils@8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)':
+    dependencies:
+      '@eslint-community/eslint-utils': 4.9.1(eslint@10.0.3(jiti@2.6.1))
+      '@typescript-eslint/scope-manager': 8.58.0
+      '@typescript-eslint/types': 8.58.0
+      '@typescript-eslint/typescript-estree': 8.58.0(typescript@5.9.3)
+      eslint: 10.0.3(jiti@2.6.1)
+      typescript: 5.9.3
+    transitivePeerDependencies:
+      - supports-color
+
   '@typescript-eslint/visitor-keys@8.57.0':
     dependencies:
       '@typescript-eslint/types': 8.57.0
       eslint-visitor-keys: 5.0.1
 
+  '@typescript-eslint/visitor-keys@8.58.0':
+    dependencies:
+      '@typescript-eslint/types': 8.58.0
+      eslint-visitor-keys: 5.0.1
+
   '@vitejs/plugin-react@5.1.4(vite@7.3.1(@types/node@25.4.0)(jiti@2.6.1)(lightningcss@1.31.1)(yaml@2.8.2))':
     dependencies:
       '@babel/core': 7.29.0
@@ -5884,12 +6078,13 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  '@vitest/eslint-plugin@1.6.10(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)':
+  '@vitest/eslint-plugin@1.6.14(@typescript-eslint/eslint-plugin@8.58.0(@typescript-eslint/parser@8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)':
     dependencies:
-      '@typescript-eslint/scope-manager': 8.57.0
-      '@typescript-eslint/utils': 8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
+      '@typescript-eslint/scope-manager': 8.58.0
+      '@typescript-eslint/utils': 8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
       eslint: 10.0.3(jiti@2.6.1)
     optionalDependencies:
+      '@typescript-eslint/eslint-plugin': 8.58.0(@typescript-eslint/parser@8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
       typescript: 5.9.3
     transitivePeerDependencies:
       - supports-color
@@ -6105,8 +6300,12 @@ snapshots:
 
   commander@14.0.3: {}
 
+  commander@8.3.0: {}
+
   comment-parser@1.4.5: {}
 
+  comment-parser@1.4.6: {}
+
   compare-versions@6.1.1: {}
 
   confbox@0.1.8: {}
@@ -6125,7 +6324,7 @@ snapshots:
 
   cookie@1.1.1: {}
 
-  core-js-compat@3.48.0:
+  core-js-compat@3.49.0:
     dependencies:
       browserslist: 4.28.1
 
@@ -6295,17 +6494,17 @@ snapshots:
       eslint: 10.0.3(jiti@2.6.1)
       semver: 7.7.4
 
-  eslint-config-flat-gitignore@2.2.1(eslint@10.0.3(jiti@2.6.1)):
+  eslint-config-flat-gitignore@2.3.0(eslint@10.0.3(jiti@2.6.1)):
     dependencies:
       '@eslint/compat': 2.0.3(eslint@10.0.3(jiti@2.6.1))
       eslint: 10.0.3(jiti@2.6.1)
 
-  eslint-flat-config-utils@3.0.2:
+  eslint-flat-config-utils@3.1.0:
     dependencies:
       '@eslint/config-helpers': 0.5.3
       pathe: 2.0.3
 
-  eslint-json-compat-utils@0.2.2(eslint@10.0.3(jiti@2.6.1))(jsonc-eslint-parser@3.1.0):
+  eslint-json-compat-utils@0.2.3(eslint@10.0.3(jiti@2.6.1))(jsonc-eslint-parser@3.1.0):
     dependencies:
       eslint: 10.0.3(jiti@2.6.1)
       esquery: 1.7.0
@@ -6319,12 +6518,12 @@ snapshots:
     dependencies:
       eslint: 10.0.3(jiti@2.6.1)
 
-  eslint-plugin-command@3.5.2(@typescript-eslint/rule-tester@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.57.0(typescript@5.9.3))(@typescript-eslint/utils@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1)):
+  eslint-plugin-command@3.5.2(@typescript-eslint/rule-tester@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.58.0(typescript@5.9.3))(@typescript-eslint/utils@8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1)):
     dependencies:
       '@es-joy/jsdoccomment': 0.84.0
       '@typescript-eslint/rule-tester': 8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
-      '@typescript-eslint/typescript-estree': 8.57.0(typescript@5.9.3)
-      '@typescript-eslint/utils': 8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
+      '@typescript-eslint/typescript-estree': 8.58.0(typescript@5.9.3)
+      '@typescript-eslint/utils': 8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
       eslint: 10.0.3(jiti@2.6.1)
 
   eslint-plugin-depend@1.5.0(eslint@10.0.3(jiti@2.6.1)):
@@ -6341,16 +6540,16 @@ snapshots:
       eslint: 10.0.3(jiti@2.6.1)
       eslint-compat-utils: 0.5.1(eslint@10.0.3(jiti@2.6.1))
 
-  eslint-plugin-import-lite@0.5.2(eslint@10.0.3(jiti@2.6.1)):
+  eslint-plugin-import-lite@0.6.0(eslint@10.0.3(jiti@2.6.1)):
     dependencies:
       eslint: 10.0.3(jiti@2.6.1)
 
-  eslint-plugin-jsdoc@62.7.1(eslint@10.0.3(jiti@2.6.1)):
+  eslint-plugin-jsdoc@62.9.0(eslint@10.0.3(jiti@2.6.1)):
     dependencies:
-      '@es-joy/jsdoccomment': 0.84.0
+      '@es-joy/jsdoccomment': 0.86.0
       '@es-joy/resolve.exports': 1.2.0
       are-docs-informative: 0.0.2
-      comment-parser: 1.4.5
+      comment-parser: 1.4.6
       debug: 4.4.3
       escape-string-regexp: 4.0.0
       eslint: 10.0.3(jiti@2.6.1)
@@ -6365,7 +6564,7 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  eslint-plugin-jsonc@3.1.1(eslint@10.0.3(jiti@2.6.1)):
+  eslint-plugin-jsonc@3.1.2(eslint@10.0.3(jiti@2.6.1)):
     dependencies:
       '@eslint-community/eslint-utils': 4.9.1(eslint@10.0.3(jiti@2.6.1))
       '@eslint/core': 1.1.1
@@ -6373,7 +6572,7 @@ snapshots:
       '@ota-meshi/ast-token-store': 0.3.0
       diff-sequences: 29.6.3
       eslint: 10.0.3(jiti@2.6.1)
-      eslint-json-compat-utils: 0.2.2(eslint@10.0.3(jiti@2.6.1))(jsonc-eslint-parser@3.1.0)
+      eslint-json-compat-utils: 0.2.3(eslint@10.0.3(jiti@2.6.1))(jsonc-eslint-parser@3.1.0)
       jsonc-eslint-parser: 3.1.0
       natural-compare: 1.4.0
       synckit: 0.11.12
@@ -6397,9 +6596,9 @@ snapshots:
 
   eslint-plugin-no-only-tests@3.3.0: {}
 
-  eslint-plugin-perfectionist@5.6.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3):
+  eslint-plugin-perfectionist@5.8.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3):
     dependencies:
-      '@typescript-eslint/utils': 8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
+      '@typescript-eslint/utils': 8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
       eslint: 10.0.3(jiti@2.6.1)
       natural-orderby: 5.0.0
     transitivePeerDependencies:
@@ -6557,17 +6756,17 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  eslint-plugin-unicorn@63.0.0(eslint@10.0.3(jiti@2.6.1)):
+  eslint-plugin-unicorn@64.0.0(eslint@10.0.3(jiti@2.6.1)):
     dependencies:
       '@babel/helper-validator-identifier': 7.28.5
       '@eslint-community/eslint-utils': 4.9.1(eslint@10.0.3(jiti@2.6.1))
       change-case: 5.4.4
       ci-info: 4.4.0
       clean-regexp: 1.0.0
-      core-js-compat: 3.48.0
+      core-js-compat: 3.49.0
       eslint: 10.0.3(jiti@2.6.1)
       find-up-simple: 1.0.1
-      globals: 16.5.0
+      globals: 17.4.0
       indent-string: 5.0.0
       is-builtin-module: 5.0.0
       jsesc: 3.1.0
@@ -6577,13 +6776,13 @@ snapshots:
       semver: 7.7.4
       strip-indent: 4.1.1
 
-  eslint-plugin-unused-imports@4.4.1(@typescript-eslint/eslint-plugin@8.57.0(@typescript-eslint/parser@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1)):
+  eslint-plugin-unused-imports@4.4.1(@typescript-eslint/eslint-plugin@8.58.0(@typescript-eslint/parser@8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1)):
     dependencies:
       eslint: 10.0.3(jiti@2.6.1)
     optionalDependencies:
-      '@typescript-eslint/eslint-plugin': 8.57.0(@typescript-eslint/parser@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
+      '@typescript-eslint/eslint-plugin': 8.58.0(@typescript-eslint/parser@8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
 
-  eslint-plugin-vue@10.8.0(@stylistic/eslint-plugin@5.10.0(eslint@10.0.3(jiti@2.6.1)))(@typescript-eslint/parser@8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(vue-eslint-parser@10.4.0(eslint@10.0.3(jiti@2.6.1))):
+  eslint-plugin-vue@10.8.0(@stylistic/eslint-plugin@5.10.0(eslint@10.0.3(jiti@2.6.1)))(@typescript-eslint/parser@8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3))(eslint@10.0.3(jiti@2.6.1))(vue-eslint-parser@10.4.0(eslint@10.0.3(jiti@2.6.1))):
     dependencies:
       '@eslint-community/eslint-utils': 4.9.1(eslint@10.0.3(jiti@2.6.1))
       eslint: 10.0.3(jiti@2.6.1)
@@ -6595,7 +6794,7 @@ snapshots:
       xml-name-validator: 4.0.0
     optionalDependencies:
       '@stylistic/eslint-plugin': 5.10.0(eslint@10.0.3(jiti@2.6.1))
-      '@typescript-eslint/parser': 8.57.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
+      '@typescript-eslint/parser': 8.58.0(eslint@10.0.3(jiti@2.6.1))(typescript@5.9.3)
 
   eslint-plugin-yml@3.3.1(eslint@10.0.3(jiti@2.6.1)):
     dependencies:
@@ -6783,8 +6982,18 @@ snapshots:
 
   fast-levenshtein@2.0.6: {}
 
+  fast-string-truncated-width@1.2.1: {}
+
+  fast-string-width@1.1.0:
+    dependencies:
+      fast-string-truncated-width: 1.2.1
+
   fast-uri@3.1.0: {}
 
+  fast-wrap-ansi@0.1.6:
+    dependencies:
+      fast-string-width: 1.1.0
+
   fastq@1.20.1:
     dependencies:
       reusify: 1.1.0
@@ -6928,8 +7137,6 @@ snapshots:
 
   globals@15.15.0: {}
 
-  globals@16.5.0: {}
-
   globals@17.4.0: {}
 
   globrex@0.1.2: {}
@@ -7078,6 +7285,8 @@ snapshots:
 
   jsdoc-type-pratt-parser@7.1.1: {}
 
+  jsdoc-type-pratt-parser@7.2.0: {}
+
   jsesc@3.1.0: {}
 
   json-buffer@3.0.1: {}
@@ -7106,6 +7315,10 @@ snapshots:
     optionalDependencies:
       graceful-fs: 4.2.11
 
+  katex@0.16.45:
+    dependencies:
+      commander: 8.3.0
+
   keyv@4.5.4:
     dependencies:
       json-buffer: 3.0.1
@@ -7306,6 +7519,18 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
+  mdast-util-math@3.0.0:
+    dependencies:
+      '@types/hast': 3.0.4
+      '@types/mdast': 4.0.4
+      devlop: 1.1.0
+      longest-streak: 3.1.0
+      mdast-util-from-markdown: 2.0.3
+      mdast-util-to-markdown: 2.1.2
+      unist-util-remove-position: 5.0.0
+    transitivePeerDependencies:
+      - supports-color
+
   mdast-util-phrasing@4.1.0:
     dependencies:
       '@types/mdast': 4.0.4
@@ -7419,6 +7644,16 @@ snapshots:
       micromark-util-combine-extensions: 2.0.1
       micromark-util-types: 2.0.2
 
+  micromark-extension-math@3.1.0:
+    dependencies:
+      '@types/katex': 0.16.8
+      devlop: 1.1.0
+      katex: 0.16.45
+      micromark-factory-space: 2.0.1
+      micromark-util-character: 2.1.1
+      micromark-util-symbol: 2.0.1
+      micromark-util-types: 2.0.2
+
   micromark-factory-destination@2.0.1:
     dependencies:
       micromark-util-character: 2.1.1
@@ -8234,6 +8469,10 @@ snapshots:
     dependencies:
       typescript: 5.9.3
 
+  ts-api-utils@2.5.0(typescript@5.9.3):
+    dependencies:
+      typescript: 5.9.3
+
   ts-declaration-location@1.0.7(typescript@5.9.3):
     dependencies:
       picomatch: 4.0.3
@@ -8282,6 +8521,11 @@ snapshots:
     dependencies:
       '@types/unist': 3.0.3
 
+  unist-util-remove-position@5.0.0:
+    dependencies:
+      '@types/unist': 3.0.3
+      unist-util-visit: 5.1.0
+
   unist-util-stringify-position@4.0.0:
     dependencies:
       '@types/unist': 3.0.3