When using the the "Supplies" utility, when is payment made for drawing the ware card? The card implies that payment (1 gold or discard 1 hand card) comes after the ware card is found from the draw pile. Can the payment of 1 discard be done before going to the draw pile to find the ware?
It may have sense to look at the ware card first. You can take the ware card in consideratation when you decide whether to discard a card or pay.