feat(chat): chat-debug devtools — floating launcher + extension API #686

Job	Run time
Cockpit — build all examples	5m 15s
Cockpit — build / test	1m 47s
Website — lint / build	1m 58s
Cockpit — representative capability smoke	1m 30s
Library — lint / test / build	3m 16s
Cockpit — deploy smoke dry-run	1m 18s
Cockpit — secret-gated integration	1m 17s
Cockpit — e2e	2m 14s
Website — e2e	2m 31s
examples/chat — python smoke	1m 23s
Deploy → Vercel	-1s
Production smoke	-1s
	22m 27s

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