Provide Run is a post-time-skip quest given to Byleth in Fire Emblem: Three Houses. This quest can be completed after a month and the quest giver differs from each route.

Supply Run (Black Eagles – Chapter 13)

Hubert will ask you to deliver some supplies for him. You need to get an Arcane Crystal and 2 Caledonian Gar. The Arcande Csytal can sometimes be found at the blue spot in front of the blacksmith. You will have to fish for the Gar if you haven’t got one. Speak to Hubert when you have them to complete the quest.

Supply Run (Blue Lions – Chapter 14)

You need to deliver 2x Teutates Loach and 2x Zanado Fruit. You can catch the fish easily, it’s a 2 star fish. You can grow Zando Fruit using Mixed Fruit Seeds. Plant the seeds, don’t cultivate them. When they are grown, save before checking the seeds. Reload if you don’t get the fruit.

Supply Run (Black Eagles – Chapter 15)

Another quest you get from Hubert. He will want some Chickpeas, which can be got from planted vegetables, and Arcane crystals, which can be bought from Anna after you complete her quest.

Supply Run (Blue Lions – Chapter 17)

From Gilbert. You need to deliver 2x Tomato and 1x Silverfish. You can catch Silverfish using 3 star bait on a gold fish shadow.

Supply Run (Blue Lions – Chapter 18)

You will need to obtain 2x Airmid Pike and 2x Wild Game for Gilbert. I had plenty of the fish at this point, they are a 3x fish. You can buy Wild Game from the Southern Merchant.

Supply Run (Blue Lions – Chapter 19)

Gilbert will ask for more supplies. It was Weeds and Carrots for me, both easily grown in the gardens.

Supply Run (Blue Lions – Chapter 20)

Gilbert will ask for more supplies. It was Cabbage and Tomatos this time.

Supply Run (Blue Lions – Chapter 20)

Gilbert will ask for more supplies. It was Weeds and Smithing Stones this time.