I will try to respond to all three of these by describing myself. It's a little complicated, but I honestly believe that my sort of thought processes are more common than religionists realize.
In casual discussion I usually refer to myself as a nontheist or atheist. That's because "culturally Catholic, agnostic, atheistic deist " is pretty long and cumbersome. And irrelevant to the discussion, usually. But each of those terms describes a facet of my world view.
The "cultural Catholic " is easy. I was raised in a huge Catholic family that was really a bit insular. My parents didn't have friends, they had relatives and parishioners. Even my schools were extensions of the church. I knew no other world until my teens. I have as my Catholic friends put it, a "C" engraved on my heart. No change to my theological beliefs can change that.
The "agnostic" is a bit more complex. It is not really about God or the supernatural at all. It is the recognition that human beings aren't too perceptive or smart, but we have a batch of instincts and mental processes that commonly result in beliefs about the ineffable and unknowable. That's religion. Believing in implausible things about aspects of reality we don't and cannot understand, at least at this time. We humans are just too limited to any important understanding of God, and that decidedly includes me. So I believe that the usual image of God is a fictional character that people re-imagine over and over. Creating God in their own image.
Which leads me to "atheistic". Theism isn't really the belief that "God exists". That's Deism. Theism is really the belief that one knows important stuff about God(s). God's history and character, plans and methods, wishes and feelings, etc etc. I am not able to believe that human beings know any of that, much less the primitive warlords and such who invented the foundations of the religions I mostly live with, the various Abrahamics.
But given all that, I do believe in God(sort of) . The universe does exist. I don't pretend to understand that, but I have no problem using the word "God" to refer to "the reason that there is something, rather than nothing ". But that doesn't tell us anything about God. Making up explanations seems a miserably poor substitute for the rigorous investigation of Creation. So I believe in scientific inquiry, not religion. I believe in using reason to improve our ethics, not revelation.
Does this make me, and likely a lot of other atheists, a little more understandable?
Tom