Haha, rage-worthy indeed my friend. This is an enjoyable and challenging game as long as you follow the reminder that this is not some gladiator fight to the death. It's simple, lighthearted, and not too bad.
Unless you enjoy the company, I'm pretty sure the "i" in the sentence "But i you can't win." is not needed. On the game side of things, you could perhaps implement multiple difficult hidden cipher patterns for the chain of letter. That way it wouldn't be the same if they were to play again, yet it would still be hard.