I’d like to change my distribution but when I attempt to create a backup through steam, it just creates an empty folder with the game’s name.
I’m assuming this is because how flatpak contains the app.
How can I make a backup of my games so I don’t have to redownload everything again?
Unless you've added custom library folders, this is where the files live:
$HOME/.var/app/com.valvesoftware.Steam/