If you use Peonia and put a Treasure Energy or Dream Ball from your prizes into your hand, can you use the Treasure Energy or Dream Ball effect to attach it to one of your Pokemon?
Sorry, but Treasure Energy and Dream Ball only trigger when you are taking it as a face-down prize card, not when you are trading it with another card.
Source: TPCi Rules Team (2021-10-07); TPCi Rules Team (2022-04-07)