How to get this quest
Enter the refugee camp.
Speaking to the camp leaders
Speak to Liliana and Robert. You must select all their dialogue options to complete this objective.
Finding the tunnel complex
The stolen food is inside a room located in a tunnel complex. There are two entry point to this complex.
Getting to the food
The room containing the stolen food is easy to find, but multiple enemies are in the way. All those battles involve one water mage, one wind mage and two neophyte worshippers. With 16 ATK, the mages can be defeated in one strike and the neophytes take two strikes. Defeat the water mage first. And guard when a neophyte gets tactical advantage.
Once you get in front of the food room, you will remark the door is locked. To get inside, you've got two options.
Once you enter the food storage, just report to Julian to complete the quest.