Hi. Do you still have access to your Outlook on your laptop?
If yes use that signed-in session to go to your Microsoft account’s Security settings at account.microsoft.com/security. There you can remove the old Authenticator and add a new sign-in method using your phone or another email.
If you can’t access any backup email or phone number that works, fill out the account recovery form (account.live.com/acsr) and give as much account info as you can (old passwords, contacts, used services).
Is your laptop-signed-in Outlook still working now?