Spicy Thai Green Papaya Salad

Name: Spicy Thai Green Papaya Salad
Ingredients: 1/2 cup fresh lime juice; 3 tablespoons plus 1 teaspoon Thai fish sauce; 1/4 cup minced shallot; 3 Thai bird chiles or Serrano chiles, seeded and finely chopped; 3 tablespoons coconut-palm sugar or golden cane sugar; 1 1/2 teaspoons minced garlic; 2 medium-large green papayas, peeled, seeds removed, and shredded or julienned (2 to 2 1/2 pounds); 2 carrots, peeled and shredded or julienned; 2 tablespoons chiffonade fresh mint leaves; 1 tablespoon chopped fresh cilantro leaves, plus 1/3 cup leaves, for garnish; 1/2 cup finely chopped peanuts, for garnish