That is what I call Atheist. You don’t care if one exists or not.
Atheist like us generally get thrown in with anti-theists (people who refuse an existence of gods) and are just as bad as a fundamentalist trying to prove they are right about a god existing or not.
I see you fall into my second line of lumping Atheists with anti-theists.
Agnostic is you believe there is something equating to a god but don’t believe in God