Corned Beef and Cabbage Quiche

Name: Corned Beef and Cabbage Quiche
Ingredients: 1 tablespoon salted butter; 2 cups finely sliced green cabbage; 1 tablespoon caraway seeds; 1 pie crust, homemade or store-bought, recipe follows; All-purpose flour, for rolling; 8 ounces corned beef, cut into small pieces; 1 1/2 cups half-and-half; 1 tablespoon Dijon mustard; 8 large eggs; Kosher salt and freshly ground black pepper; 3 cups all-purpose flour; 3/4 cup vegetable shortening; 1 1/2 sticks (12 tablespoons) salted butter; 1 large egg; 5 tablespoons cold water; 1 tablespoon white vinegar; 1 teaspoon kosher salt