The camera should go down for the player to be able to see the furniture tower - at least its top part. Let me admit, that if I put away the unfair feel of the current solution, it's quite a challenge. I would just make it more fair to the player, at least move the camera once down - and then back to the upper position.
Did you tried my game? It's kind of surprise, because it's not a video game. Am I the only one brave / crazy enough to submit such a game among all video games?;)