6 ounces whole-wheat angel hair pasta
1/3 cup all-purpose flour, divided
2 cups reduced-sodium chicken broth
1/2 teaspoon salt, divided
1/4 teaspoon freshly ground pepper
4 chicken cutlets, (3/4-1 pound total), trimmed
3 teaspoons extra-virgin olive oil, divided
1 10-ounce package mushrooms, sliced
3 large cloves garlic, minced
1/2 cup white wine
2 tablespoons lemon juice
1/4 cup chopped fresh parsley
2 tablespoons capers, rinsed
2 teaspoons butter