Add support for adding `setup-dotnet` steps to `sync.sh` #8379

Job	Run time
Split workflow (ubuntu-latest, linked)	31s
Split workflow (macos-latest, nightly-latest)	50s
Split workflow (ubuntu-latest, default)	24s
Split workflow (ubuntu-latest, nightly-latest)	26s
Split workflow (macos-latest, default)	54s
Split workflow (macos-latest, linked)	48s
	3m 53s

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