Bazzite has gamescope running out of the box, and other distributions probably have it too.
It's also an immutable distribution, like SteamOS (except it's based on Fedora Silverblue instead of Arch) so there is no "incompatibility with your exact distro setup": you have the exact same distro setup as every single Bazzite user.
It's also an immutable distribution, like SteamOS (except it's based on Fedora Silverblue instead of Arch) so there is no "incompatibility with your exact distro setup": you have the exact same distro setup as every single Bazzite user.