Chicken Pot Pie

Name: Chicken Pot Pie
Prep time: 40 min
Cook time: 45 min
Total time: 1 h 25 min
Cuisine: American
Ingredients: 2 1/2 cups all-purpose flour; 1 tablespoon sugar; 1 teaspoon salt; 1 cup cold unsalted butter (cut into cubes); 1/2 cup cold buttermilk; 1-2 tablespoons cold water; 1 large egg (beaten, for the egg wash); 1/4 cup unsalted butter; 1/3 cup diced onion; 2 medium carrots (sliced (about 1 cup)); 1 stalk celery (sliced (about 1/2 cup)); 2 cloves garlic (minced); 1/3 cup all-purpose flour; 1 1/2 teaspoons minced fresh thyme; 1 tablespoon minced fresh Italian parsley; 1/2 teaspoon black pepper; 1 3/4 cups chicken broth; 1/2 cup heavy cream; 3 cups shredded chicken or turkey; 1 cup frozen peas