[codex] Allow anonymous PostHog website analytics #523

Job	Run time
Cockpit — build / test	1m 41s
Website — lint / build	1m 50s
Cockpit — secret-gated integration	1m 19s
Cockpit — deploy smoke dry-run	1m 0s
Cockpit — e2e	2m 0s
Cockpit — representative capability smoke	1m 26s
Cockpit — build all examples	4m 51s
Chat Agent — smoke	1m 6s
Library — lint / test / build	2m 21s
Website — e2e	2m 3s
Deploy → Vercel	-1s
Production smoke	-1s
	19m 35s

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