Just like my favorite carnitas recipe,
I strongly suggest you fry up the cooked meat in a skillet with some cooking spray over high heat before serving. It's one more step but it only takes a few minutes! It reduces the moisture and TOTALLY magnifies the flavor and makes it all yummy and a little crispy. It also keeps your pitas from getting soggy. I always keep some of the juices in the pyrex I'll store my leftovers in so I can bring it back to life if we don't eat it all and it seems too dry later.