how do i use a different apple id to login to a game like guardian tales but still remain in my account still

so i recently changed iphone models and i wanted to transfer my guardian tales account to my new phone, however, i always have to use the apple id of the account im in, i need to somehow use a different apple id to login, so how do i use a different apple id when i press the apple login thing?

edit:i forgot to mention i also need to be in my account as constantly switching my account to the other to enter the guardian tales account is very annoying