I’m curious if there’s a name to the belief I have. I wouldn’t exactly call it atheist, though i generally lean that way, but I wouldn’t call it non-theist. The thing is, I just plain don’t care if God exists or not. They could, or they couldn’t, it really has no bearing on how I live my life. For that reason along I think I go in the atheist camp, but I always thought that was used to describe people who don’t think he exists.
Probably could be called agnostic or maybe deist. I’m not super familiar with either but that might be what you’re looking for
Deist is IIRC some number of gods probably existed and set the world into motion but do not play a role in day to day life.