Here's what I tried with Tic Tac Toe. There's one error in its first response but otherwise it follows along seamlessly. I was really surprised. I'm interested if you can get the same results.

https://pastebin.com/c833TSV2

(It leaves out the first row of the game in its first response, but I was able to interpret the board state since it played on the second row. When I gave it the full board again in my answer it picked it right up.)