Microsoft 365 features that help users manage their subscriptions, account settings, and billing information.
Hello Michael,
Based on my tests and researches, we can add different accounts to Microsoft Authenticator, but we can only use one work or school account for phone sign-in. As Microsoft official document said, a phone must be registered to a single work or school account. If you want to turn on phone sign-in for a different work or school account, you must unregister your account from this device through the Settings page. I'm sorry for all inconvenience. Here is an article for your reference: Frequently asked questions.
If you want to remove the account from Microsoft Authenticator, please firstly sign into Security Info page to delete Microsoft Authenticator method. After that, you can remove your account from the app.
If you have any other problems, please feel free to let me know and I will try my best to help you.
Regards,
Seven