Hello
I am a macOS system developer. I can sign and notarize games with your certificate for you. I can also create a script that you can use in the future shall you decide to do it yourself (in fact, this is what I do for my own non-appstore apps).
(Basically to avoid "trusted developer issue" you need to have your app signed, notarized and notarization-stapled. If you distribute it inside a dmg package, and the dmg is being downloaded by autoupdate, the .dmg must be signed/notarized as well).