Many bottle shops and breweries are very dog friendly here in the Triangle. If you are looking for a great place to bring your four legged friend, this is a good list verified by Pints & Pups. Some places even allow dogs indoors while others offer outdoor seating. Use the category filter drop down to sort out both.
Keep in mind, these establishments allow this because people bring friendly dogs. Please consider this when bringing your dog to a possibly crowded indoor venue. If you know of a place that offers great craft beer and is dog friendly, let me know.