Spring Asparagus Quiche

Name: Spring Asparagus Quiche
Ingredients: FOR THE CRUST:; 1-½ cup All-purpose Flour; ½ teaspoons Salt; 1 teaspoon Sugar; ½ cups Unsalted Butter, Cold And Cut Into Cubes; 1 whole Large Egg Yolk; 3 Tablespoons Milk; 1 Tablespoon Heavy Cream; FOR THE FILLING:; ½ Tablespoons Unsalted Butter; 1 cup Asparagus, Chopped Into 1/2 Pieces; ½ cups Green Onions, Cut Into 1/2 Pieces Starting With The White End; ½ cups Roughly Chopped Mushrooms; 6 whole Large Eggs; 1 cup Milk; ½ cups Heavy Cream; 1 pinch Salt; 1 pinch Black Pepper; 1 cup Sharp White Cheddar Cheese, Divided