Add basic telemetry for `start-proxy` Action #7948

Job	Run time
Split workflow (ubuntu-latest, linked)	1m 43s
Split workflow (macos-latest, linked)	1s
Split workflow (ubuntu-latest, default)	1m 23s
Split workflow (ubuntu-latest, nightly-latest)	1m 24s
Split workflow (macos-latest, default)	1s
Split workflow (macos-latest, nightly-latest)	1m 30s
Split workflow (ubuntu-latest, default)	1m 23s
Split workflow (ubuntu-latest, linked)	1m 43s
Split workflow (ubuntu-latest, nightly-latest)	1m 24s
Split workflow (macos-latest, nightly-latest)	1m 30s
Split workflow (macos-latest, linked)	1m 24s
Split workflow (macos-latest, default)	1m 44s
	15m 10s

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