If it does work fine without Google Play service, then there’s not much you can do with this kind of pop up other than modifying the APK (or perhaps using some kind of hook framework like Xposed).

You could try something like microG, but your ROM would need to support signature spoofing.

btop is not Bazzite specific, it’s just preinstalled on Bazzite. You can install it on pretty much any distro.