Melt 3 tablespoons of butter in a large skillet over medium heat, and cook the carrots, onion, and celery with black pepper until the onions are translucent, about 8 minutes. Transfer the mixture into a bowl; set aside. Place 2 tablespoons of flour into a resealable plastic zipper bag, and toss the cooked turkey meat into the flour; shake the bag to coat. Melt 2 more tablespoons of butter in the same skillet over medium heat, and cook the turkey meat in the butter until the flour coating turns golden brown, about 10 minutes. Pour the chicken broth into the skillet about 1/2 cup at a time, and stir until the broth begins to simmer and thicken, about 5 minutes. Remove the skillet from the heat. Stir in the cooked vegetables, green beans, cream of mushroom soup, cream-style corn, parsley, and thyme until the filling is thoroughly combined.
