ref(server): Switches common endpoint to use `Managed` #21215

Job	Run time
detect what files changed	8s
Test Python	1m 18s
Lint Rust Default Features	4m 43s
Setup build metadata	2s
Lint	7m 7s
Test All Features (ubuntu-latest)	7m 58s
Test (macos-latest)	7m 21s
Test (windows-latest)	8m 40s
Integration Tests	17m 0s
Build Relay Binary (relay, x86_64-unknown-linux-gnu)	7m 17s
Build Internal Relay Binary (relay, x86_64-unknown-linux-gnu)	9m 51s
validate-devservices-config	0s
Build Docker Image (relay)	46s
Sentry-Relay Integration Tests	14m 38s
self-hosted-end-to-end	14m 46s
Publish Relay to GCR	0s
Publish Relay to Internal AR	0s
Upload build artifacts to gocd	-1s
	1h 41m 34s

Provide feedback