You seem to be saying then that an agnostic atheist must acknowledge the possibility of God and hence the possibility of encounter but that it is impossible for them to engage with God.
I hate to say it but that makes your belief indistinguishable to a priori God evasion
Misse of "a priori".
I also think you're misunderstanding the word "agnostic". An agnostic is not just someone who does not personally know whether God exists or not, but someone who believes that God's existence is unknowable in principle. (Fun fact; the first person to call himself an agnostic (after TH Huxley, who coined the term) was Huxley's friend, Charles Darwin.)
And finally, you seem to be regarding God as an object in the universe, like the moon or a beetle or Nigel Farage. Whatever God is, God must surely be either less or much more than that; either nothing st all, or the ground and meaning of all existence.