Fix sync recipes and add base `justfile` #3793

Job	Run time
Diagnostic export (ubuntu-latest, nightly-latest)	1m 0s
Diagnostic export (windows-latest, nightly-latest)	3m 53s
Diagnostic export (macos-latest, linked)	1m 31s
Diagnostic export (windows-latest, linked)	2m 57s
Diagnostic export (ubuntu-latest, linked)	58s
Diagnostic export (macos-latest, nightly-latest)	1m 7s
	11m 26s

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