The only way to build a database project in SQL Server is with an actual SQL Server. In this case, I don’t have any code that would error on LocalDB, so I’ll just use that. I coudl specify my local SQL Server development database if I had the need.
This is a test build, so I also don’t need any SQL Compare options or other switches.
Getting code into source control and building continuous integration around it has become a lot easier over the past several years. Easy enough that you can work a simple system out in a day or two of experimentation.