ref(server): Switches common endpoint to use `Managed` #21212

Job	Run time
detect what files changed	5s
Test Python	1m 45s
Setup build metadata	4s
Lint Rust Default Features	1m 43s
Test (windows-latest)	1m 33s
Lint	1m 22s
Test (macos-latest)	1m 40s
Build Relay Binary (relay, x86_64-unknown-linux-gnu)	1m 36s
Test All Features (ubuntu-latest)	1m 33s
Build Internal Relay Binary (relay, x86_64-unknown-linux-gnu)	1m 37s
Integration Tests	1m 19s
validate-devservices-config	0s
Publish Relay to GCR	1s
Build Docker Image	1s
Sentry-Relay Integration Tests	1s
self-hosted-end-to-end	1s
Publish Relay to Internal AR	1s
Upload build artifacts to gocd	1s
	14m 23s

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