I'm guessing they are playing Scrabble. I don't know why the letters seem so big or why Brutus has a tray of letters but not Gladys. The phrasing also seems off. "This letter does it--I win!" She's putting down an N so is she adding it to DRAW to make DRAWN thus stealing precious points or has she somehow convinced Brutus that you play Scrabble like Uno and the object of the game is to get rid of all your letters?
Shoutout to Chip for spelling LOSER with Brutus' tiles.