rzzzzzI don't think your problem is related to the New Outlook, but I will try to provide some help nonetheless. I have come across stubborn Office account in the past, it was quite a headache, I agree.
Firstly, make sure to use Office Removal Tool to completely remove all traces of Office from your computer.
- https://support.microsoft.com/en-us/office/uninstall-office-from-a-pc-9dd49b83-264a-477a-8fcc-2fdf5dbf61d8
This probably will not remove the said account, but is an important step so you will be able to start with a clean sheet.
In the second step you have to remove the Office accounts from the Windows Credentials. Follow this guide:
- https://answers.microsoft.com/en-us/msoffice/forum/all/remove-unwanted-account-from-office-365/90ce2870-c2f8-4355-8616-cca8ee446158
Re-installation of Windows is not necessary and if not done correctly, it will not help you as the credentials could be carried over from previous installation and you will land in the same mud as you are now.
Hope this will help you