Add support for adding `setup-dotnet` steps to `sync.sh` #8381

Job	Run time
Split workflow (ubuntu-latest, linked)	1m 21s
Split workflow (ubuntu-latest, default)	1m 20s
Split workflow (macos-latest, nightly-latest)	2m 37s
Split workflow (ubuntu-latest, nightly-latest)	1m 55s
Split workflow (macos-latest, default)	1m 59s
Split workflow (macos-latest, linked)	2m 7s
	11m 19s

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