Speak to Preece in Atlantis to enter the Normal mode Cavern of Trials, then defeat Trial Adjudicator.

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Introduction

The Trial Adjudicator has been bothering Preece recently. She figures this is as good a chance as any to get you to help out, and has asked you to kill the Trial Adjudicator in the Cavern of Trials.

NPC Dialog

Anyway, whatever. I've been troubled by a monster in the Cavern of Trials recently. If you can teach him a lesson for me, I'll accept your offer.