The Ticket for Exhibition is not a physical item which you can hold in your backpack. When talking to Cillia:
Player: hi Cillia: Welcome to the Prize Exhibition. I offer tickets for 50 gold as well as replica of certain old weapons. The special exhibition is for free. Player: ticket
Cillia: So, do you want to buy a ticket? Player: yes Cillia: And here we go!
Ticket for Exhibition
When you say yes she will teleport you into the area where you can enter the exhibition.
