Sign in my Apple Music with my iPhone would also sign the school iPad into that Apple ID?

so, I have a school I pad right, I have my personal apple music account on my phone. if you are familiar with school disc electronics you would know that they are super secure like no app store no apple id restricted sites etc. So to get to my question i was wondering if i was to sign in on my personal apple music on the app would it also sign the school ipad into that apple id? like it gives me a option to sign in on the ipad on apple music so i just need to know that it wont sign the ipad into my personal apple id when I sign in on apple music.

Thank You,

Cash

[Edited by Moderator]