Chicken Marsala Milanese
1 large egg, beaten 1 ounce Parmigiano-Reggiano cheese, freshly g… 1 pinch cayenne pepper 1 pinch cayenne pepper, or to taste 1 pinch ground black pepper 1 tablespoon chopped flat-leaf (Italian) pars… 1 ½ cups panko bread crumbs, divided, or more… 2 (6 ounce) skinless, boneless chicken breast… 2 cups chicken broth 2 tablespoons all-purpose flour 2 teaspoons lemon juice 3 tablespoons unsalted butter 8 ounces brown mushrooms, sliced kosher salt and freshly ground black pepper t… salt to taste ¼ cup olive oil for frying ½ cup all-purpose flour, or as needed ½ cup dry Marsala wine