Brandon Nielsen via test composed on 2022-12-21 15:02 (UTC-0600):
Suggestions welcome!
If your ultimate goal is F37 installation and no F37 media will boot, try booting installation media's kernel and initrd using an already working Grub, preferably those from the netinst .iso. NET install initialized from Grub is virtually the only installation method I use when Grub is already on the computer.
I haven't had occasion to try a fresh installation since long before the change to Grub for installation media, as I'm normally content to upgrade using dnf.