Thanks for trying. With the prompt I provided chatgpt was able to play and understand the win condition. However the moves were stupid.
If I changed the prompt and removed the word win, it did not understand the win conditions as well.
Here were my experiments: https://chat.openai.com/share/f02fbe93-dfc5-4d8a-9cf3-b1ae34...
I even exclaimed you are lousy at Tic Tac Toe to GPT.
It seems that GPT3.5 struggles to play visual games.
It is marvelous that a statistical word guessing model can get so far though :).