Processes in Microsoft 365 for setting up Office apps, redeeming product keys, and activating licenses.
Hello
Because you previously used the university's license, you would need to remove the license from the system first.
Select Finder > Applications > Utilities > Keychain Access.
Right-click the university account that you want to remove.
Select Delete [account name].
After that, please use the instruction here: https://support.microsoft.com/office/how-to-remove-office-license-files-on-a-mac-b032c0f6-a431-4dad-83a9-6b727c03b193 Download and run the license removal tool to clear the cached organizational credential, this should then allow you to sign in using your personal Microsoft account.