Processes in Microsoft 365 for setting up Office apps, redeeming product keys, and activating licenses.
Yes, ideally you need to uninstall the current apps first, then install them from your account. Let me know how that goes.
If that doesn't work, I am going to have you uninstall again, and install the 16.112 version since you said it worked in August. https://res.public.onecdn.static.microsoft/mro1cdnstorage/C1297A47-86C4-4C1F-97FA-950631F94777/MacAutoupdate/Microsoft_365_and_Office_16.112.26081010_BusinessPro_Installer.pkg