Provide `Authorization` header when downloading `update-job-proxy` #10424

Job	Run time
analyze-other (actions)	57s
check-codeql-versions	32s
analyze-other (python)	1m 4s
analyze-javascript (ubuntu-24.04)	3m 56s
analyze-javascript (ubuntu-22.04)	4m 12s
analyze-javascript (windows-2022)	5m 13s
analyze-javascript (windows-2025, linked)	6m 13s
analyze-javascript (windows-2025)	5m 57s
analyze-javascript (ubuntu-24.04, linked)	3m 53s
analyze-javascript (windows-2022, linked)	6m 18s
analyze-javascript (ubuntu-22.04, linked)	4m 4s
analyze-javascript (macos-13)	6m 8s
analyze-javascript (macos-14, linked)	7m 51s
analyze-javascript (macos-15, linked)	7m 22s
analyze-javascript (macos-13, linked)	9m 24s
analyze-javascript (macos-15)	7m 29s
analyze-javascript (macos-14)	7m 47s
	1h 28m 20s

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