Add `proxy_binary` input to `start-proxy` action #6814

Job	Run time
Packaging: Action input (macos-latest, linked)	1m 16s
Packaging: Action input (ubuntu-latest, linked)	1m 1s
Packaging: Action input (windows-latest, linked)	5m 2s
Packaging: Action input (windows-latest, default)	4m 23s
Packaging: Action input (ubuntu-latest, default)	1m 3s
Packaging: Action input (macos-latest, default)	1m 41s
Packaging: Action input (windows-latest, nightly-latest)	6m 43s
Packaging: Action input (macos-latest, nightly-latest)	1m 22s
Packaging: Action input (ubuntu-latest, nightly-latest)	1m 5s
	23m 36s

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