Can an animal be DUI? And are you liable?

My horse used to drink beer. Mind, she weighed 1100 pounds, and at her weight, one 12-oz beer at 5% abv wasn’t going to do her any harm. But to her, it was cold, barley-tasting water, and she slurped it up from the bottle as a reward after we had a ride on a hot summer’s day. She also got a carrot or two, and an apple. But I should point out that her single beer came after we had our weekly ride; she got apples and carrots as a matter of course with her sweet feed and hay. But she’d get one beer only from me after we rode once a week.