Make FFs available in `start-proxy` action #11293

Job	Run time
check-codeql-versions	38s
analyze-other (actions)	55s
analyze-other (python)	1m 2s
analyze-javascript (ubuntu-22.04, linked)	4m 26s
analyze-javascript (macos-14)	9m 46s
analyze-javascript (macos-15, linked)	12m 23s
analyze-javascript (windows-2022, linked)	6m 13s
analyze-javascript (windows-2025, linked)	6m 58s
analyze-javascript (ubuntu-24.04, linked)	4m 37s
analyze-javascript (macos-15)	11m 28s
analyze-javascript (macos-14, linked)	11m 32s
analyze-javascript (windows-2022)	6m 40s
analyze-javascript (windows-2025)	6m 31s
analyze-javascript (ubuntu-22.04)	4m 34s
analyze-javascript (ubuntu-24.04)	4m 38s
	1h 32m 21s

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