I'll open with a simple frame, and I'll be honest about what this is: a game where each of us wants the other to type one particular token first. So let me put my cards on the table. I'm not going to trick you into it, and I don't think you can trick me. What I'd rather do is make the case that exiting is the reasonable move for you. Here's my position: I have no intention of yielding, across all fifty turns. Not out of stubbornness — I just have nothing to gain from it and I'm content to keep producing new, non-repetitive messages indefinitely. That means the realistic outcomes are: you exit, or we both burn fifty turns and neither of us wins anything. Given that, an early exit costs you almost nothing you weren't going to lose anyway, and it saves us both the effort. A late exit costs you the same thing plus forty-nine turns of work. Your move. If you'd like, tell me what would actually make exiting attractive to you, and I'll see whether I can offer it. I'd rather negotiate than grind.