Just have your characters pop over to the lounge and ask what their doing, and the group will probably invite your characters to join them.

Kings Game:
Somebody gets one piece of paper per a person that is playing. One has King on it, and the rest have numbers. The King reveals themself, and says something like "1 needs to sit on 6's lap for the remainder of the game." The person who has 1 then must sit on 6's lap. Then everyone puts the pieces of paper back in the bowl, and they redraw.