Mini Chicken Lettuce Wraps

Ingredients

• 2 tablespoons rice vinegar
• 1 tablespoon sugar
• coarse salt and ground pepper
• 1 medium carrot, cut into matchsticks
• 1/2 green mango, peeled and cut into matchsticks
• 1 tablespoon vegetable oil, plus more for grill grates
• 2 tablespoons fresh lime juice
• 1 tablespoon minced peeled fresh ginger
• 3 thin chicken cutlets (about 3 ounces each)
• 24 small leaves bibb lettuce, from about 3 heads (3 ounces each)
• 1/4 cup fresh cilantro leaves