Build: Improve Gutenberg integration workflow #24201

Job	Run time
Core running from build / Linux	2m 43s
Core running from src / Linux	2m 44s
Core running from build / MacOS	3m 7s
Core running from src / Windows	4m 25s
Core running from src / MacOS	2m 52s
Core running from build / Windows	5m 45s
Failed workflow tasks	0s
Slack Notifications	0s
	21m 36s

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