To reset the quest, you can go see Lady Mystery in the Asylum Map. She’s located on the 2nd floor, on the left side. Just keep walking left until you reach the end of the path, and then continue walking forward. you’ll find Lady Mystery there and something like a scroll, which allows you to reset quests.
You can also press C to check the message from Ryoko Kuno (if I remember correctly), She mentioned this the first time you arrived at the Asylum Map