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Backport: Skip pull_request triggered runs in private repos - 6.9 Branch #35909

Job	Run time
Core running from src / Linux	2m 33s
Core running from build / Linux	2m 44s
Gutenberg running from src / Linux	7m 46s
Gutenberg running from build / Linux	6m 47s
Gutenberg running from src / MacOS	14m 39s
Gutenberg running from build / MacOS	16m 32s
Core running from src / MacOS	2m 29s
Gutenberg running from src / Windows	16m 16s
Gutenberg running from build / Windows	14m 44s
Core running from src / Windows	3m 55s
Core running from build / MacOS	2m 58s
Core running from build / Windows	4m 25s
Slack Notifications	0s
Failed workflow tasks	-1s
	1h 35m 47s