test(node): Refactor integration tests for `honoIntegration` #45986

Job	Run time
job_get_metadata / Get Metadata	5s
Build	7m 10s
Check PR branches	3s
Check file formatting	1m 9s
Check lockfile	3m 8s
Prepare E2E tests	2m 48s
Lint	1m 4s
Check for faulty .d.ts files	43s
Size Check	2m 0s
Cloudflare Integration Tests	1m 42s
Browser Unit Tests	1m 20s
Circular Dependency Check	1m 30s
Node (22) Unit Tests	1m 30s
Node (24) Unit Tests	1m 39s
Node (20) Unit Tests	1m 35s
Node (20) Integration Tests	9m 20s
Node (18) Integration Tests	8m 19s
Node (22) Integration Tests	8m 44s
Node (24) (TS 3.8) Integration Tests	10m 38s
Node (24) Integration Tests	8m 22s
Node (18) Unit Tests	1m 27s
Bun Integration Tests	0s
Upload Artifacts	0s
Node (${{ matrix.node }})${{ (((matrix.typescript && format(' (TS {0})', matrix.typescript))) \|\| '') }} Node-Core Integration Tests	0s
Bun Unit Tests	0s
PW ${{ matrix.bundle }} Tests	0s
Remix (Node ${{ matrix.node }}) Tests	0s
Deno Unit Tests	-1s
Playwright ${{ matrix.bundle }}${{ ((matrix.project && (matrix.project != 'chromium') && format(' {0}', matrix.project)) \|\| '') }}${{ ((matrix.shard && format(' ({0}/{1})', matrix.shard, matrix.shards)) \|\| '') }} Tests	-1s
E2E ${{ (matrix.label \|\| matrix.test-application) }} Test (optional)	0s
E2E ${{ (matrix.label \|\| matrix.test-application) }} Test	0s
All required jobs passed or were skipped	5s
	1h 14m 19s

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