IT: Streamline ITs more #8264

Job	Run time
initial-build	3m 25s
integration-tests (ubuntu-latest, 17)	16m 53s
full-build (ubuntu-latest, 17)	8m 10s
integration-tests (ubuntu-latest, 21)	13m 36s
full-build (ubuntu-latest, 21)	7m 43s
integration-tests (macos-latest, 17)	11m 3s
full-build (macos-latest, 17)	11m 36s
integration-tests (macos-latest, 21)	11m 3s
full-build (macos-latest, 21)	10m 53s
integration-tests (windows-latest, 17)	20m 23s
full-build (windows-latest, 17)	12m 50s
integration-tests (windows-latest, 21)	19m 15s
full-build (windows-latest, 21)	12m 21s
	2h 39m 11s

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