refactor(examples): Stage 2 PR-4 — render + ag-ui wave (7 apps; final wave) #900

Job	Run time
Cockpit — build / test	1m 53s
Cockpit — build all examples	5m 39s
Cockpit — representative capability smoke	1m 32s
Cockpit — secret-gated integration	1m 24s
Website — lint / build	2m 9s
examples/chat — aimock e2e	2m 22s
Website — e2e	2m 17s
Cockpit — deploy smoke dry-run	1m 17s
PostHog — dashboards-as-code drift check	1m 27s
examples/chat — python smoke	1m 31s
Library — lint / test / build	3m 29s
Cockpit — e2e	2m 7s
Deploy → Vercel	0s
Production smoke	-1s
	27m 6s

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