- Obtain a Lumberjack from the Splintery Chest next to the Magian Moogle.
- Trade the Lumberjack to the Magian Moogle.
- Select Trial 364 from the list of available trials.
- Defeat the Notorious Monster Hoo Mjuu the Torrent 3 times with the Lumberjack equipped.
- Return to the Magian Moogle and trade the Lumberjack to complete the quest and receive your reward.