[Help] How to update EA App when installed through Non Steam Launchers

So I've got the EA App installed on my Steam Deck via the Non Steam Launchers program. Everything was working great, but now the app wants to update and says it needs to restart. I let it do it's thing, it says it's downloading and applying the update and then it shuts down. When I open it again, it still says it needs to restart.

Does anyone know how to update the EA App when you have it installed this way? I've found posts online about how to update it when you have it installed directly, but since I didn't do that those methods don't seem to work.