In the simple case your example might work, but we know that the LLMs are not able to make general logical inferences at runtime with both strong knowledge of a

In the simple case your example might work, but we know that the LLMs are not able to make general logical inferences at runtime with both strong knowledge of a subject and runtime data, in the case of an LLM playing chess. Regardless of its actual ability, LLMs state purely impossible and/or illegal moves and states moves are not legal when they are, which means it’s unable to understand (learn) the basic rules of chess.