docs(chat): fix api + getting-started technical accuracy #1520

Job	Run time
CI scope	34s
Cockpit — build all examples	1s
Cockpit — build / test	1s
Cockpit — deploy smoke dry-run	1s
examples/chat — python smoke	1s
Website — e2e	1s
Library — lint / test / build	1s
Website — lint / build	1s
Cockpit — representative capability smoke	1s
examples/chat — e2e (${{ matrix.shard }}/4)	1s
Cockpit — secret-gated integration	1s
Cockpit — e2e dispatcher	1s
PostHog — dashboards-as-code drift check	1s
examples/chat — e2e	1s
CI — required	3s
Cockpit — e2e (${{ matrix.cap.angular }})	1s
Canonical demo → Vercel	1s
Cockpit — e2e	1s
Production smoke	1s
Deploy → Vercel	1s
	55s

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