Kurnik: Russian Chicken Pie

Name: Kurnik: Russian Chicken Pie
Prep time: 30 min
Cook time: 30 min
Total time: 1 h
Cuisine: Eastern European
Ingredients: 4 ounces (1/2 cup) cold unsalted butter, cut into chunks; 4 ounces cold cream cheese, cut into chunks; 1 cup all-purpose flour; 2 cups water, or chicken broth; 1 cup rice, rinsed; 2 large onions, thinly sliced; 8 ounces mushrooms, sliced; 2 tablespoons unsalted butter; 1 cup half-and-half; 1 tablespoon cornstarch; 1 cup chicken broth; 3 cups diced cooked chicken meat; 2 tablespoons chopped parsley; 1 teaspoon salt; Freshly ground black pepper, to taste; 4 hard-cooked eggs, finely chopped; 1 tablespoon chopped dill; 1 egg yolk; 1 tablespoon water