I'm afraid at this point you have simply ignored literally everything I said about the Hypostatic Union and the Divine nature.
And He was not in His divine essence simultaneously created and creator at the time of the Incarnation.
But He was...
The Divine essence cannot cease to be what it is.
Again, at risk of pointlessly repeating myself, there was no change to the Divine essence at the incarnation. Because the Divine essence cannot change. God is immutable. When we say "God became man" we mean the divine essence was united to something that was created, i.e the body of Jesus, but the D.E. itself did not "become" created in the sense that it ceased being creator and was now created. That doesn't even make logical sense to say that and it's not what we teach.
There was a very ancient heresy called Kenosis which taught the D.E. lost some of it's attributes during the incarnation. We beat those guys and that is not what we teach. To formulate it mathematically, A=Divine Essence. B=created flesh.
We are not saying, A turned into B and therefore ceased being A. We are also not saying A and B were united in such a way that they became a hybrid blend of each other (C). (Both of those mistaken views would entail the contradiction you're speaking about)
What we ARE saying is A was united to B (AB) but both natures remained perfectly intact. The human nature was not swallowed up by the Divine, and the Divine did not cease being divine and turn human.
I want you to really give some thought to that before responding.
In regards to "Can God make a square circle or a rock so heavy he cant lift it"
The reason God "cant" do any of those things is because they do not exist. There is no category for a married bachelor or a square circle or a rock so heavy omnipotence cant influence it. They are just combinations of words that don't mean anything.
However, you're assuming God cannot become incarnate, and then arguing that because God cant become incarnate, a body he inhabits is not a thing that exists, therefore He can't make a body for Himself because its a logical contradiction. Not only are you arguing in a circle, that is a HUGE leap. You're telling me an all powerful God could not create a body and step into it? What is logically impossible about that? Given the formulation I laid out above, where the D.E. does not cease being what it is, I will ask again, where is the logical contradiction.
"The Islamic concept of God emphasizes that he is absolutely pure and free from
association with other beings, which means
attributing the powers and
qualities of God to his creation, and vice versa (wikipedia)"
Accept the Quran does exactly this. How does Allah create man? He breathes into the clay and it becomes man, correct?
How does Jesus create birds in Surah Al-Ma'idah?
"How I taught you writing, wisdom, the Torah, and the Gospel. How you moulded a bird from clay—by My Will—and breathed into it and it became a ˹real˺ bird—by My Will. "
Did Allah take Jesus as a partner in creation? If no, why did he give him the same exact power to create that Allah alone should possess?
Why did Allah AND Gibreel create the body of Jesus together?
Surah At-Tahrim
˹There is˺ also ˹the example of˺ Mary, the daughter of ’Imrân, who guarded her chastity, so We breathed into her ˹womb˺ through Our angel ˹Gabriel˺.1 She testified to the words of her Lord and His Scriptures, and was one of the ˹sincerely˺ devout.
If Allah alone is creator and giver of life, what in the world is going on in this Aya? Was Gibreel Allah's partner in creating Isa?
If Allah has no partners, it certainly seems Gibreel and Isa create and help him create in identical manners.