Strawberry Danish Braid

Name: Strawberry Danish Braid
Cuisine: European
Ingredients: Pastry Dough; 1/4 cup warm water -105F-115°F; 2 and 1/4 teaspoons active dry yeast (1 standard package); 1/2 cup milk; 1 large egg, room temperature; 1/4 cup granulated sugar; 1 teaspoon salt; 2 and 1/2 cups all-purpose flour; 14 Tablespoons unsalted butter, cold; Egg Wash; 1 egg; 2 tbs milk; Filling; 1 cup milk; 2 tbs cornstarch; 4 tbs sugar; pinch of salt; 1 egg; 1/4 tsp vanilla; - 1 lb. strawberries, halved; Glaze; 1/2 cup confectioners' sugar; 1/2 tsp vanilla extract; 1 tbs cream or milk