Why is it, do you think, that you need to rule out the particular God?<quoted text>
No it's not. As long as you don't affirm or deny the possibility of a god or gods, you are agnostic. Agnostics like me do deny "God."
Who can say that no god of any description is possible unless the idea is logically impossible? I can't.
However unlikely, the idea of a god isn't logically impossible, therefore it is possible by default. It seems to me that we must all admit to a mustard seed of agnosticism.
But many named gods can be ruled out such as the one you call "God" ... Jehovah-Jesus. Doing so, however, doesn't make one no longer agnostic. It can't.
Why aren't you asking us what we believe and what we call ourselves rather than telling us? You need to understand what the terms mean to unbelievers, and how we use them, unless it is your intention to try to impose a preferred definition upon us.
If you are, I would suggest you think it through. There's only one outcome that I've ever seen come to pass whenever that happens.
Have you ever wondered why atheists display so much tension around the Christian God?