Track events for claude oauth #5338

Job	Run time
build-and-check	2m 46s
test-integration-.agents	41s
test-integration-common	47s
test-integration-packages/agent-runtime	37s
test-packages/agent-runtime	54s
test-common	44s
test-cli	1m 11s
test-.agents	40s
test-integration-cli	39s
test-integration-web	39s
test-packages/billing	38s
test-integration-packages/billing	39s
test-integration-sdk	39s
test-packages/internal	42s
test-sdk	49s
test-integration-packages/internal	46s
test-web	50s
	14m 41s

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