Mushroom and Chicken Risotto

Name: Mushroom and Chicken Risotto
Ingredients: 2 tablespoons butter; 1/2 pound mushrooms, thinly sliced; 2/3 pound boneless, skinless chicken breasts, cut into 1/2-inch pieces; 1 teaspoon kosher salt, divided; 1/4 teaspoon freshly ground black pepper; 5 1/2 cups canned low-sodium chicken broth or homemade stock, plus more if needed; 1 tablespoon vegetable oil; 1/2 cup chopped onion; 1 1/2 cups arborio rice; 1/2 cup dry white wine; 1/2 cup grated Parmesan cheese, plus more for serving; 2 tablespoons chopped fresh parsley