If the resource a Collection Chest sits on is exhausted, must you rebuild the chest?

Question

Accepted Answer

Probably not. Posters read it as the chest leaving the exhausted tile and returning to the available pieces so it can be placed on a new source, rather than being rebuilt. One player instead suggests building another set; no ruling settles it.

Robinson Crusoe: Adventures on the Cursed Island

If the resource a Collection Chest sits on is exhausted, must you rebuild the chest?