Either human-like attributes can be described using physics or they are magic. If they can be described using physics then they can be simulated. If they can be simulated then they can be simulated in any Turing complete system, include AoE II.
Besides, LLMs are not a simulation of the physics involved in human consciousness to begin with.
So instead of making any unjustifiable claims like "everything physical is computable" you should instead just say "I believe consciousness is computable and that is why it is possible to instantiate it on any computational substrate, including strategy games like Age of Empires, properly arranged dominoes, and water wheels".
But I'm also willing to accept that a computer is simulating arithmetic, and not actually doing it. That makes no difference to me, as long as the output is the same. In fact it's kind of a boring distinction to make.