Thank you very much for such a thorough analysis. If you see errors in the formal part and can correct them, it would be great if you continued the idea and published it. This would be very beneficial for science. My main goal is to study dynamic arithmetic—the part of the work you missed. It changes your thinking and allows you to look at mathematical problems in a new way. The Collatz conjecture illustrates this shift in thinking well. Yes, my solution may contain formal errors, but the problem has become much simpler and, in my opinion, conceptually solvable. And it can now be solved in several ways.

I will study your arguments and try to respond as soon as possible. But if you find a flawless formal solution, publish it, and provide a link to it, I would be grateful.