Tighten health stats #6128

Job	Run time
build-and-check	3m 5s
test-integration-packages/billing	1m 4s
test-integration-packages/internal	1m 5s
test-integration-packages/agent-runtime	49s
test-integration-sdk	1m 19s
test-integration-cli	47s
test-integration-common	42s
test-packages/billing	49s
test-packages/agent-runtime	51s
test-cli	1m 2s
test-integration-web	49s
test-common	51s
test-packages/internal	51s
test-.agents	38s
test-sdk	42s
test-web	2m 7s
	17m 31s

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