How to stop the Apple Music ads every time I launch the Music app?
I hate to say, but I’ve not been able to find any way to accomplish this so I’m going to recommend just using a different music app with your same music library that the native Music app creates and manages. 

For me, I love the Cs music player and it does an amazing job at using your existing music library and lets you avoid using the native app any time it disappoints you. 


Cs Music Player by Mike Clay


I think this used to be called the cesium player if you search for other reviews or don’t want to try this app. What it does for me is it knows which songs are Apple Music and coached locally, so I don’t incur data charges and just want to shuffle songs I already downloaded. I also prefer this app over Apple for several local library situations (classical music, better for me interface, etc...)