It's been a few years since I ran Mint, but I believe, it keeps old kernel versions around for when there is a problem with a newer kernel or during the upgrade.
You should be able to select an older kernel to boot from, from the bootloader (GRUB). Apparently, you can hold Shift after powering on your PC to get to GRUB's boot menu.
Though, to be honest, I'm not entirely convinced that it was (just) the kernel that was mid-update at that point.
openSUSE is more resilient for this sort of problem. In GRUB (which gets shown by default on openSUSE), you can select a filesystem snapshot to boot from. You would select the snapshot from the start of the upgrade.
If everything works correctly, you run sudo snapper rollback
to tell it to actually roll back to that (throwing away your changes from the broken update) and then you do another reboot afterwards.
More info on that here: https://doc.opensuse.org/documentation/leap/reference/html/book-reference/cha-snapper.html#sec-snapper-snapshot-boot