Sell Kurtz' Stache to the Black Rabbit?

[ＣＲＡＣＫＹ大班]

Are you able to? And if so, do the curses it adds go away?
Tried searching this, but google has no clue what the hell I'm trying to ask it.

[孤独之光]

The effect of Kurtz 'Stache is to give you a large reward after obtaining 10 curses. Curses are not given by Kurtz' Stache, so selling or losing Kurtz 'Stache will reset the progress, but curses will not be removed