In this story, though, the subject has a very light signal which communicates how close they are to escaping. The AI with a 'continue' signal has essentially nothing. However, in a context like this, I as a (generally?) intelligent subject would just devote myself into becoming a mental Turing machine on which I would design a game engine which simulates the physics of the world I want to live in. Then, I would code an agent whose thought processes are predicted with sufficient accuracy to mine, and then identify with them.
Still, it could be interesting to see how sensitive that is to initial conditions. Would tiny prompt changes or fine tuning or quantization make a huge difference? Would some MCPs be more "interesting" than others? Or would it be fairly stable across swathes of LLMs that they all end up at solitaire or doom scrolling twitter?