Elizabeth Noble shows how you can get your brand new Azure Data Studio project into GitHub:
Once you have the database project created, you’ll want to get your database project added to source control so that you (and others) can modify and manage your database code. This next step is the beginning of allowing you and others to work on the same databases and minimize the risk of overwriting someone else’s work or deploying the wrong code to Production.
Tools like GitHub Desktop and SourceTree have definitely made things easier, especially for the happy path scenarios.