Show project picker before auth/waiting-room gates (#535) #6217

Job	Run time
build-and-check	3m 4s
test-integration-packages/internal	1m 18s
test-integration-packages/billing	1m 3s
test-integration-web	47s
test-integration-cli	51s
test-integration-common	41s
test-integration-packages/agent-runtime	44s
test-.agents	39s
test-packages/internal	53s
test-cli	50s
test-packages/agent-runtime	46s
test-common	42s
test-packages/billing	45s
test-sdk	43s
test-integration-sdk	1m 22s
test-web	1m 2s
	16m 10s

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