docs: audit api coverage and responsive layout (#374) #975

Job	Run time
Cockpit — representative capability smoke	1m 36s
Cockpit — secret-gated integration	1m 14s
Cockpit — build / test	1m 31s
Cockpit — build all examples	5m 20s
Website — lint / build	1m 52s
Cockpit — deploy smoke dry-run	1m 7s
Library — lint / test / build	3m 19s
Website — e2e	2m 9s
examples/chat — python smoke	1m 12s
PostHog — dashboards-as-code drift check	1m 5s
examples/chat — aimock e2e	2m 28s
Cockpit — e2e	2m 56s
Deploy → Vercel	5m 19s
Production smoke	2m 39s
	33m 47s

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