This page explains how to complete the level 84 Endwalker quest "A Taste of the Moon".
Requirements
This quest is available if you have completed the quest A Harey Situation.
Starting the Quest
Talk to Livingway in Mare Lamentorum to begin the quest.
Speak with Livingway
You can either go southwest or southeast and then go to the south end of the area to reach the ramp to the lower level, or you can just go west and fall off of the edge. Go west through the large door in the west wall, go west through the following door. In this area, you may wish to enable normal battle music if you do not have it enabled (Main Menu > System > System Configuration > Sound Settings). Continue northwest to where the orange arrow is pointing in the minimap. Talk to Livingway to proceed.
Examine the Storage Crate
Go up the stairs northeast of Cookingway. Before you go to the quest icon, go clockwise around the platform to find a nearby Aether Current. Then go north to the quest icon and check on the sparkling Storage Crate. You may choose any carrot you wish.
Show Cookingway the Obscenely Large Carrot
Go clockwise around the platform to reach the steps leading to ground level. Go down the steps, then talk to Cookingway to hand over the Obscenely Large Carrot.
Eat the Obscenely Large Carrot
Use the Obscenely Large Carrot from the Key Items section of your inventory, or use the icon to the right of the quest name in your list of active quests.
Speak with Cookingway
Talk to Cookingway to complete the quest. There will be a cutscene.
Optional: Mare Lamentorum Aether Current
You can optionally go northwest to find a nearby Aether Current. You can use the Aether Compass (found in Main Menu > Duty > Collection) to help you pinpoint its location. Check on the Aether Current to attune to it.
Next Main Scenario Quest
After you complete the quest, talk to Livingway to accept the next quest: Styled a Hero.