The poem, especially if you go with Vinceborg's advice. And the kicker? Vinceborg's advice, which Balthios tells you would never work, and consists of things like "doesn't mind animal feces much" and other blunt statements, is exactly what you have to choose to get the best outcome.
The circumstances of Hoopz's birth.
Receiving the "Shrekmono".
"It is a kimono with a picture of Shrek on it."
So in a typical scene, they all face various temptations tailored to their characters (except Hoopz because he's special). Then we get to Barkley. What's his temptation? Getting his wife back? His friends? His favorite game? A better world for his kid? Nope. With no foreshadowing at all, his temptation is... gold. But not just any gold. Incan gold. ...And he fails to resist the temptation.
The warning that comes before said minigame: "WARNING: May be erotic for child", due to the deliberately badtranslation. Of course, there is nothing erotic about said minigame, the closest being an image of Cyberdwarf and Ivory kissing if you perform well enough.