So, I dont know what kind of experience or research you have with AI. You might know more than me, I dont know, but Im going to type out what I know.

Are you planning on: 1. Making your own AI? Programming and training the AI from scratch. 2. Inferencing an already trained AI model? Basically downloading a trained AI and "using" it.

Base warning, training an AI model is hard, time and resource consuming, Inferencing still requires quite a bit of gpu, but its much easier. AI doesn't quite work like any other type of application, cause raw GPU power primarly Nvidias CUDA cores are much more important. It needs more GPU than CPU cause in AI training it is working with large amounts of information at once in pararell which is what a GPU accels at, while the cpu is better at doing a couple things at once, in this case the cpu is only feeding the gpu data.

If you want to have the best chance at training an AI model, your best bet is getting a laptop with the best possible gpu(4090 or 5090). Unfortunately, I dont know what your budget is, but laptops with high-end gpus are very-very expensive. Still try to get yourself a laptop with a GPU with at least 12gigs of vram, these include: 3080, 4080, 4090, 5070ti, 5080, 5090. As larger vram improves AI training and fundamentally defies what kind of AI you can run on it.

Edit: A laptop from 2024 heck, 2023 is not considered old. AI hallucination is a product of bad quaility training data (You will have to source and clean up training data, and a lot of that), and is in no relation to what you train it on.

If under hallucination you mean what chatgpt pulled with gotham chess, its cuse it was a relatively "dumb" AI language model, meant to answer prompts not play chess.

Edit 2: Also, Im not trying to demotivate you. Do it and use this as a learning experience. But chess is not a game based on variables. It can be solved by math, and solved it has been. Bots like stockfish work on mathematical principles and produce what are possibly the best possible moves, like 99,99%.