In this Death Wish, as stated before, you must fight Mustache Girl again, but with the difficulty increased. The first phase is much shorter, but the second phase is now much harder. Attacks are now much more powerful and are harder to dodge. In the final phase, the intervals in which between Hat Kid gets healed are increased, making it harder to defeat Mustache Girl.
The first bonus increases difficulty by banning hat abilities. This limits Hat Kid's arsenal and makes it harder to dodge attacks. The second bonus forces the player to get through the second phase in a mere 3 minutes, in which the player now must be quick.