In Box 1 Encounter 2, do you add a Detention whenever you shuffle the discard pile into your draw deck?

Question

Accepted Answer

Yes. While this Encounter is active, a hero adds a Detention to their deck before any shuffle, whether the draw deck ran out or another effect such as Transfiguration caused the shuffle.

Harry Potter: Hogwarts Battle

In Box 1 Encounter 2, do you add a Detention whenever you shuffle the discard pile into your draw deck?