Red Pepper Quiche

Name: Red Pepper Quiche
Ingredients: 1 refrigerated pie crust (from a 15-ounce package); 2 teaspoons olive oil; 3 green onions, chopped (about 1/4 cup); 1 cup chopped cooked ham; 1 clove garlic, minced; 1 cup half-and-half (or whole milk); 2 tablespoons Dijon mustard; 1 teaspoon soy sauce; 1/4 teaspoon kosher salt; 1/4 teaspoon freshly ground pepper; 2 large eggs plus 1 white; 2 tablespoons chopped jarred roasted red peppers, rinsed and drained; 1 tablespoon chopped fresh oregano; 1 tablespoon chopped fresh basil; 1 1/2 cups grated Swiss cheese; 1/2 cup plus 2 tablespoons grated Parmesan cheese