The Engine Desktop software serves as a library management tool designed to assist you in creating, managing, and preparing your DJ collection conveniently from your computer. Apple Music, similar to other streaming services, is exclusively accessible via Engine OS on supported standalone hardware from Denon DJ and Numark; however, it is not available within the desktop software.
For a comprehensive list of Denon DJ and Numark standalone hardware that support Apple Music, please check the following article: Engine DJ | What Engine OS hardware supports Apple Music? | Engine DJ