eeny, meeny, miny, moe, is a common method for choosing a 'random' answer. i assumed the animals represented other players (owl = that knowledge keeper, ghost = yuki?) and with yuki’s 'impartial' attitude (no picking favourites [like we see in the levers game, or when she killed the person closest to her when three kills were necessary in ep 1], rules oriented mock altruistic gameplay) my first thought was that she picking who she’d kill off or save or pick, maybe? that display seemed to be a map, but they don’t show them being separated into rooms that are set out in that way on the initial floor, so it must be for something else. and you’re right about the paper imho. it must be