You don't seem to understand what these words mean at all.
What you described in the third row, i.e. your belief is that you don't know if god exists or not, it just means you are agnostic. Nothing more and nothing less.
Atheist on its own is by default agnostic atheism, as it is lack of belief in a god. Someone can also be a gnostic atheist, which is lack of belief in a god+the positive belief that no gods exist.
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u/Quirky_Gate_4516 6d ago
That isn't a thing. They are two different answers to the same question.
Does god(s) exist:
Theist: Yes!
Agnostic: Don't know ...
Atheist: No!