Smoked Chicken Pot Pie

Name: Smoked Chicken Pot Pie
Ingredients: 1 large sweet potato; 3 3/4 Cups all-purpose flour, plus more for shaping; 1 1/2 Teaspoon kosher salt; 1/2 Teaspoon fresh ground black pepper; 1/2 Pound (2 sticks) unsalted butter, cut into pieces and chilled; 1 large egg; 1/2 Cup whole milk; 2 large eggs, beaten with 3 tablespoons cold water; 4 Tablespoons unsalted butter; 1 medium Spanish onion, finely diced; 3 cloves garlic, finely chopped; 1/4 Cup all-purpose flour; 1 quart whole milk, heated, or more if needed; 3/4 Pounds cremini mushrooms, quartered and sautéed in canola oil until golden brown; 2 turnips, peeled, medium dice, blanched and drained; 2 carrots, cut into matchsticks, blanched and drained; 1 Cup frozen peal onions, blanched and drained; One 3-pound roasted chicken, shredded; 2 Teaspoons puréed canned chipotle chile in adobo or 2 teaspoons smoked sweet Spanish paprika; Kosher salt and freshly ground black pepper; 1/4 Cup flat leaf parsley, coarsely chopped