Caramelized Mushrooms And Dumplings

Name: Caramelized Mushrooms And Dumplings
Ingredients: 2 tablespoons olive oil; 1 tablespoon unsalted butter; 1 pound small cremini mushrooms, cleaned and cut into bite size chunks; 1 medium purple onion, diced; 2 cloves garlic, minced; 1 1/2 teaspoon dried thyme; 2 medium carrots, sliced; 2 cups diced sweet potatoes; 1 1/2 cups frozen peas; 1/3 cup all-purpose flour; 2 1/2 cups mushroom, vegetable, or chicken broth; salt and pepper to taste; 2 teaspoons Worchestershire sauce; dash of balsamic vinegar (optional); 2 1/2 cups all-purpose flour; 1 tablespoon baking powder; 1/4 teaspoon baking soda; 1 teaspoon salt; 2 teaspoons granulated sugar; 1/2 to 1 teaspoon coarsely ground black pepper (depending on how spicy you like your biscuits); 1/4 cup chopped fresh chives; 3/4 cup (1 1/2 sticks) unsalted butter, cold and cut into cubes; 1 large egg; 3/4 cup buttermilk, cold