Escape from LeChuck's fortress without using grog?

Yesterday we were revisiting Monkey Island 2: LeChuck’s Revenge (the easy mode) and one of us got to LeChuck’s fortress without having grog in the inventory.

As you normally need some to put out the candle and escape, is this game effectively lost? Is there another way to proceed from there?

Unfortunately we don’t have any saved states from before hanging above the acid pit.