How do I transfer Windows 10 setup to new 11pc under a different MS account?

I bought a new Windows 11 pc, and am trying to set it up based on my old Windows 10 pc.  I manually ran the Windows Backup to make sure all is OK, and that is when I found out that my old pc ... is logged into Windows with an outlook email, but MS365/OneDrive (365/OD) is logged into with a hotmail email (i.e. two different accounts).  Hence, the Windows backup only includes the pc/Windows setup (other apps and their config, desktop layout, credentials, etc.), while the 365/OD account has all of the folders/files/data (which is always backed up too).

I want to consolidate everything on the new pc to the hotmail account (which already has 365/OD), but Microsoft does not allow the Windows backup to go from one account to another. 

Is there any way to transfer the old Window 10 pc settings (other apps and their config, desktop layout, other settings, etc.), basically everything in the Windows Backup except the folders/files, to the new Windows 11 pc with a different MS account? (the hotmail account already has MS365/OneDrive, so I just need the rest of the Windows Backup)