refactor(ui): wire mosaic organization sections to real Clerk hooks #30556

Job	Run time
Check Permissions	6s
Build Packages	1m 17s
Formatting \| Dedupe \| Changeset	57s
Static analysis	1m 42s
Bundle size	34s
Unit Tests (**)	2m 27s
Publish with pkg-pr-new	1m 8s
Unit Tests (**)	2m 5s
Integration Tests (generic, chrome)	1m 15s
Integration Tests (localhost, chrome)	59s
Integration Tests (handshake:staging, chrome)	1m 7s
Integration Tests (handshake, chrome)	58s
Integration Tests (sessions, chrome)	56s
Integration Tests (sessions:staging, chrome)	57s
Integration Tests (express, chrome)	57s
Integration Tests (astro, chrome)	55s
Integration Tests (fastify, chrome)	1m 13s
Integration Tests (tanstack-react-start, chrome)	1m 40s
Integration Tests (electron, chrome)	1m 39s
Integration Tests (machine, chrome)	1m 0s
Integration Tests (custom, chrome)	1m 29s
Integration Tests (nextjs, chrome, 16)	59s
Integration Tests (hono, chrome)	1m 10s
Integration Tests (vue, chrome)	54s
Integration Tests (nextjs, chrome, 15)	1m 17s
Integration Tests (cache-components, chrome, 16)	2m 4s
Integration Tests (react-router, chrome)	58s
Integration Tests (quickstart, chrome, 15)	1m 15s
Integration Tests (ap-flows, chrome)	1m 11s
Integration Tests (chrome-extension, chrome)	1m 45s
Integration Tests (nuxt, chrome)	58s
Integration Tests (quickstart, chrome, 16)	1m 10s
Integration Tests (billing, chrome)	54s
	39m 56s

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