How do I unlink my apple ID from apple music?

I had an apple music account that was linked to my apple ID and american bank account, but I've since cancelled that bank account and now have a UK bank account. My apple ID wont let me change the region to link it to my UK bank, so I created a new apple ID and am trying to subscribe to apple music with my new apple ID with my UK bank account. Every time I try to subscribe with my new ID it just says that I already have an account on this device, and I can't use apple music on my other apple ID because I no longer have a bank card linked to that one and my free trial already ended. How can I fix this issue? I really want to have apple music on my phone.