1 10-ounce package mushrooms, sliced
3 large cloves garlic, minced
4 chicken cutlets, ( ¾-1 pound total), trimmed
¼ tsp. freshly ground pepper
½ tsp. salt, divided
6 oz. whole-wheat angel hair pasta
2 tsp. butter
2 tbsp. capers, rinsed
¼ cup chopped fresh parsley
2 tbsp. lemon juice
½ cup white wine
2 cups reduced-sodium chicken broth
⅓ cup all-purpose flour, divided
3 tsp. extra-virgin olive oil, divided