"-and the world was burned in his fire. The end."~The Flame Egg
The Game Room is a room. It contains a zombie.
At first glance, the room appears to simply contain a Pool table and a zombie. However, there is some wood in the corner that can be moved away. Upon moving this away, there is a visible strongbox, but it can't be opened without a key. The key is on the Pool table. Opening the strongbox gives the player a Flamethrower. Then read The Flame Egg, also located on the Pool table. Then burn the zombie with the Flamethrower. Note that reading it is not required, but it does hint at what is needed.