Nope
If you accept the claim a god exists you a theist, if you reject this claim you are an atheist. You do not have to assert that there is no God. This addresses belief.
My issue here is it seems like a false dichotomy based on a certain system of logic. For instance, it is possible to neither accept nor reject a claim of god existing.
I remember a discussion with a friend who was studying philosophy and Buddhist logic. I think it might have been Nagarjuna , Buddhist logician, who uses an expanded logic than just what Leibniz-Newton used. To some Buddhist logicians for instance it possible to BOTH accept and reject a claim that god exists and its also possible to NEITHER accept or reject a claim that god exists. It is a more metaphorical base for logic than pure literal.
I also remember a discussion on a mailing list a long time ago where the atheist asked the self-declared "do you accept or reject the claim of God's existence" and the respondent would die-hard insist "neither!".
If you claim to know a God exists or you claim to know one doesn't exist you are gnostic , if you do not claim to know a God does or doesn't exist then you are agnostic. This deals with knowledge.
Knowledge is a sub set of belief so you can be both things without contradiction. I am an agnostic atheist. I reject theistic claims about the existence of God but don't say I know that there isn't one.
Deism is a form of theism .
This is a very good breakdown.
You did miss pantheism though. If the belief is that the sum total of the universe = "God" that belief sits outside the other paradigms, although an atheist might argue that a pantheist is still atheist towards any formulation of a God concept that religions use.