Herbed Goat Cheese and Root Vegetable Galette

Name: Herbed Goat Cheese and Root Vegetable Galette
Ingredients: For the dough:; 2 cups whole-wheat flour; 1 teaspoon salt; 12 tablespoons unsalted butter, cold and cut into little pieces; 2 eggs, beaten; For the assembly:; 1 tablespoon unsalted butter; 4 small or 2 large shallots, peeled and thinly sliced; Kosher salt and freshly ground black pepper; 6 ounces goat cheese, at room temperature; 1/2 teaspoon (heaping) finely chopped fresh rosemary; 1/2 teaspoon (heaping) finely chopped fresh thyme; 1 carrot, peeled and sliced into 1/8- to 1/4-inch thick rounds; 1 sweet potato, sliced into 1/8- to 1/4-inch thick rounds; 1 turnip, peeled and sliced into 1/8- to 1/4-inch thick rounds; 1 egg, beaten; olive oil