Badge of Vows 87 is a quest item from the From A Different Sky - Part 9 DLC. Merely picking it up satisfies the goal needed to complete the quest.
Badge of Vows 87 is located inside the Greatwall Encampment on the first floor elevation. It is outside on the west side of the fort at the base of the tree. There is no need to shoot it down as it is already sitting at the base of the tree between the roots.