Unfortunately I have never seen anything like that happens before. Keep in mind that Bazzite is an immutable os, so you can't make system changes like on other systems.
Your best option is to look for a driver on the Fedora repository (documentation).
Or you could layer that driver you found, but it would be uninstalled next time you update the system.
Unfortunately you picked a distro that doesn't allow much customization. This is the price you pay for a system that is almost impossible to break.
But...
Why does everything on Linux have to be so hard?!
As a counter example, I installed Bazzite on my dad's laptop. Previously it was Windows for games + Mint for internet and productivity; now it's Bazzite for everything. A couple days ago he was dealing with some important documents, he had a guest that needed a print. He called me "(My name) what did you do to the computer? I can't print anymore!". Panic 😫 There and then, I realized I completely forgot about the printer. On Mint I had to install proprietary drivers to make it work. So I rushed there, fully prepared for a fight with the system. But no, I just pressed "Add printer", Bazzite automatically detected it from the same network, and with a second click I added it to the system. 1 minute later my dad managed to print, the guest was happy, my dad was happy, I was happy. Bazzite is amazing.
For reference, the printer is an Epson ET-2815.