I think a chess stream could work, but the methods they use are different. Neuro uses an AI that plays matches on lichess that may or may not communicate with the speaking AI, while Doug uses a board that appears to be in some sort of photoshop so he can do illegal moves and replace pawns with mermaids where he physically moves around the piece pngs. This information is based off the edited Youtube videos I have seen in which Doug has chat play against an AI so I am not completely sure how he does it.
In Doug's streams, he asks the AI what their move is then interprets the response and does what it said such as deleting half the board because the AI said a whale landed on it.
I think this method could work with 2 AIs instead with Neuro stating her moves to then be interpretted and acted upon like Doug does with the Napoleon AI.