Cannot connect Apple Music

I have been trying to connect my Apple Music account for weeks, but the Stats.fm app just keeps going around in circles - I’ll click connect account, log in to my Apple account, authorise the stats app with Apple, and then get sent straight back to the Apple log in page again. This continues for as many times as I can be bothered to try and get the two apps connected.
I was originally using the beta version of the app, but left the beta programme and installed the public version of the app to see if that helped, but the problem persists.