Lettuce Wraps

Name: Lettuce Wraps
Ingredients: 3 tablespoons lime juice (from about 4 limes); 1 tablespoon fish sauce; 1 tablespoon plus 1 teaspoon soy sauce; 2 teaspoons light brown sugar; 1/3 cup fresh cilantro leaves, roughly chopped, plus more for serving; 3 scallions, thinly sliced; 1 small red jalapeno or Fresno chile, thinly sliced; 1/2 cup low-sodium chicken broth; 1 pound ground pork or chicken; 1 tablespoon grated ginger; 2 cloves garlic, minced; 1 large head Bibb or romaine lettuce, separated into 15 large leaves; Chopped roasted salted peanuts, for serving; Shredded carrots, for serving