metrics(processor): emit counter for feedback screenshots #13904

Job	Run time
Lint	3m 9s
Lint Rust Default Features	1m 44s
Setup build metadata	1s
Test (macos-latest)	2m 19s
Test All Features (ubuntu-latest)	3m 58s
Integration Tests	18m 26s
Test (windows-latest)	7m 3s
Test Python	1m 3s
Build Relay Binary (relay, x86_64-unknown-linux-gnu)	6m 9s
Build Docker Image (relay)	25s
Sentry-Relay Integration Tests	15m 18s
Publish Relay to DockerHub	0s
self-hosted-end-to-end	13m 15s
Publish Relay to GCR	0s
Upload build artifacts to gocd	0s
	1h 12m 50s

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