That's Not a Hat: Incognito features gameplay similar to That's Not a Hat, with players passing cards around a table, but now you're trying to keep track of personalities and remember who is who at every moment.
Each card features an abstract representation of a personality: a traffic cone with a crown, with a beard, or disguised as an animal. Whoever gets the card decides who it represents, then that card will be passed to others. If you aren't sure who you are, bluff convincingly enough...or announce a new character that combines the criteria of several cards to confuse your opponents! The latter can either believe you and accept it — or refuse by saying that you are lying about your personality at the risk of being wrong and being penalized.
That's Not a Hat: Incognito includes an "extreme" variant as well a new direction symbol on the back of some cards.