LLMs are the wrong tool for video games. There have been plenty of successful non-LLM AIs that have been trained with reinforcement learning to play games.

If you want to implement actual bots inside the game, then you want to use explicit logic instead of inferred logic. It's much more efficient and easier to debug.

If you want to create Bots for an existing game, which doesn't have its own pre-programmed bots, then you should look at other types of AI. See https://www.geeksforgeeks.org/deep-learning/reinforcement-le...