Spicy Thai Peanut Noodles
1 (16 ounce) package pad Thai rice noodles 1 cup matchstick carrots 1 pound boneless, skinless chicken breasts, c… 1 red bell pepper, sliced into thin strips 1 tablespoon chopped unsalted peanuts 1 teaspoon fish sauce 2 cups bean sprouts, rinsed and drained 2 red Thai chiles, seeded and finely chopped 2 tablespoons chile-garlic sauce 2 tablespoons freshly grated ginger 3 tablespoons brown sugar 3 tablespoons olive oil, divided 3 tablespoons sesame oil 3 ½ tablespoons rice vinegar 4 green onions, thinly sliced 6 tablespoons reduced-sodium soy sauce ¼ cup chopped fresh cilantro ¼ teaspoon ground black pepper ½ cup peanut butter