You've wandered away from logic into the realm of wildest fallacy. Your proof about AGI is just a repurposed proof of the existence of a supreme deity! In other words your argument is, "AGI will be the literal most amazing thing in the universe because that's what I define the word AGI to mean." No implementation of AGI could ever satisfy your absurdist threshold because what you want already exists. Code more durable than any written by humans is called DNA. Which DNA and which code persist throughout history is the subject of romances and wars, in other words the stuff of life and death. Only by being wilfully blind to literally everything in the world could you be so ignorant as to believe that you've found some great blank empty slate where nothing yet exists. Sorry, but this space is inhabited already.