time machine copying backups to a new TM drive
My Time Machine has stopped working with Catalina. The drive still shows all 32 backups - see image - so they are not lost.
However, if I reformat the drive and start again I will lose the backups.
Can I copy all the backups to another drive, reformat the TM drive, do a backup and then copy all the pre-existing old backups into the drive to the appropriate folder? Will all the old backups be recognised with the new start?
iMac, macOS 10.13