Catch async startup failures in CI smoke tests #6374

Job	Run time
build-and-check	3m 9s
test-integration-packages/internal	1m 7s
test-integration-packages/billing	1m 4s
test-integration-web	50s
test-integration-common	53s
test-integration-sdk	1m 12s
test-integration-cli	51s
test-integration-packages/agent-runtime	46s
test-cli	50s
test-packages/billing	49s
test-packages/agent-runtime	51s
test-sdk	41s
test-common	43s
test-web	1m 16s
test-.agents	57s
test-packages/internal	50s
	16m 49s

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