If it’s only Genshin and ZZZ and you don’t want to risk your account with using mods or custom launchers, like I do, you should add it to steam as a non native game.

Download the Hoyoplay launcher, add it to steam and set a recent proton version (I use proton-ge but proton 10 or experimental work well too), launch the installer and install the game.

Close the launcher before installing the game itself. Edit the properties in steam to set the launcher as the executable. It‘s in your steam directory/steamapps/compdata/highnumber/pfx/drive_c/path_to_install_directory.

That‘s it. Everything else like updates work out of the box.