docs: Fix stale AI integration paths and patterns in AGENTS.md and add-ai-integration skill #57621

Job	Run time
Get CI Metadata / Get Metadata	6s
Check file formatting	44s
Check PR branches	4s
Check lockfile	0s
Build bundles	0s
Build	0s
Bun Unit Tests	0s
Browser Unit Tests	-1s
Build Lambda layer	-1s
Lint	-1s
Cloudflare Integration Tests	-1s
Bun Integration Tests	-1s
Node (${{ matrix.node }})${{ (((matrix.typescript && format(' (TS {0})', matrix.typescript))) \|\| '') }} Integration Tests	-1s
Deno Unit Tests	-1s
Bundler Plugin Integration Tests (Node ${{ matrix.node }})	-1s
Circular Dependency Check	-1s
Build tarballs	-1s
Check for faulty .d.ts files	-1s
Node (${{ matrix.node }}) Unit Tests	-1s
Deno Integration 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
Size Check	-1s
E2E ${{ (matrix.label \|\| matrix.test-application) }} Test (optional)	-1s
PW ${{ matrix.bundle }} Tests	-1s
Upload Artifacts	-1s
E2E ${{ (matrix.label \|\| matrix.test-application) }} Test	-1s
All required jobs passed or were skipped	4s
	39s

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