The Drunken Mage is a man loitering at the outdoor bar in the Clerk's Ward. He is unhappy about his drinking problem.
If Unfulfilled-Desire has been met, the Drunken Mage can be told about her ability to remove someone's desires. Telling the mage about her grants 10,000 XP.
After, the Drunken Mage will give the Nameless One his enchanted mug. It can then be used to collect some ice shards from the "Dark Birds of Ocanthus" sculpture in the Art and Curio Galleria, as a part of the quest to help Dolora.