You are wrong.
Great argument (LOL!)
We have here a very painful (and juvenile spirited) begging of a question that has occupied serious theologians for not just centuries but millennia.
And the specifics of the answer seem to mostly occupy those who want to glorify their personal takes on religion and not God at all.
We might not even have enough information to settle the question in a “scientific” manner. Theological arguments can be made for both old and young earth creation views.
What is less appreciated is that we have no reason to believe any Darwinistic account of the appearance of life on earth, even at the old earth extreme. The YEC crowd sometimes thinks it is the superman with the evolution-vanquishing power, not realizing plain vanilla “old earth” science would suffice to do that if the Darwinists didn’t have an agenda.