Time Machine disk used for multiple computers
I think I have done this before, and others have said it's possible to back up two computers to the same disk, but after recently reformatting my Time Machine disk I am encountering the error
<disk name> contains backups created on a different computer
At which point I am asked if I want to claim these other backups (I don't, not on this second device) or to Start New Backup. If I choose to start a new backup, I'm asked to encrypt the disk which is already encrypted. This feels like it will wipe the existing backups off the disk, or else how will it manage two different passwords for two separately encrypted directories on the same disk/partition?
The Time Machine disk is APFS case-sensitive encrypted. The existing backup is from macOS Ventura; the one I'm trying to add to it is Big Sur.
Earlier Mac models