Is your work publicly available? If you are interested, I've tweeted my notes on 'Guess Who' game: [https://twitter.com/arman_boyaci/status/1463139888489025537?...]
The reason Gambit is required is that you pick characters by drawing from a deck. So you both know you can't have the same person. But if you let this knowledge affect your guesses then you leak information. So there's potentially some amount of bluff required.