If a person who already has Wudu performs a new Wudu merely to cool off, without any intention of reward (Qurbah), what is the status of the runoff water?

Classifications of Water: Pure, Disliked, and Used Water

• It remains Pure and Purifying (Tahir Mutahhir).
• It becomes Used Water (Musta'mal).
• It becomes Impure (Najis).
• It becomes Doubtful Water (Mashkuk).