Provide `Authorization` header when downloading `update-job-proxy` #5152

Job	Run time
Diagnostic export (ubuntu-latest, nightly-latest)	1m 4s
Diagnostic export (ubuntu-latest, linked)	1m 4s
Diagnostic export (macos-latest, linked)	1m 15s
Diagnostic export (windows-latest, linked)	2m 52s
Diagnostic export (macos-latest, nightly-latest)	1m 30s
Diagnostic export (windows-latest, nightly-latest)	2m 29s
	10m 14s

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