It's best to address the faux competition element of this game head-on. Obviously there's no real adversarial game - it's just a fun conceit to add some drama to the game.

I like to make fun of that element to show it isn't real. "That's the true meaning of competition, crushing your competitors into fine powder" or "The real winner ... was friendship.".

Some people will add to their score with easy wins "We both have noses" or "We both burn oxygen and convert it into CO2" - some people will wait for real connections. Both approaches are fine and raise some interesting discussion points.

Finally, this can lead into a discussion about short forms that thrive on pretend competitiveness - in the end though, you are a team working together to make the audience laugh.