1. Whisk together chili, 4 teaspoons lime juice, 3 tablespoons olive oil, cilantro, 1/4 teaspoon sugar, 1/4 teaspoon salt, and 1/4 teaspoon pepper in small bowl; set aside.

2. Whisk together remaining tablespoon lime juice, remaining 3 tablespoons olive oil, remaining teaspoon sugar, 1 1/2 teaspoons salt, 1/2 teaspoon pepper, garlic, and water in medium bowl. Place marinade and chicken in gallon-size zipper-lock bag and toss to coat; press out as much air as possible and seal bag. Refrigerate 30 minutes, flipping bag after 15 minutes.

3. Meanwhile, light large chimney starter filled with charcoal (6 qts, or about 100 briquettes) and allow to burn until coals are fully ignited and partially covered with thin layer of ash, about 20 minutes. Build modified two-level fire by arranging all coals over half of grill, leaving other half empty. Position cooking grate over coals, cover grill, and heat grate until hot, about 5 minutes; scrape grate clean with grill brush. Dip wad of paper towels in oil; holding wad with tongs, wipe cooking grate. Grill is ready when side with coals is medium-hot (you can hold your hand 5 inches above grate for 3 to 4 seconds).

4. Remove chicken from bag, allowing excess marinade to drip off. Place chicken on cooler side of grill, smooth-side down, with thicker side facing coals. Cover with disposable pan and cook until bottom of chicken just begins to develop light grill marks and is no longer translucent, 6 to 9 minutes. Using tongs, flip chicken and rotate so that thinner side faces coals. Cover with disposable pan and continue to cook until chicken is opaque and firm to touch and instant-read thermometer inserted into thickest part of chicken registers 140°F, 6 to 9 minutes longer.

5. Move chicken to hotter side of grill and cook, uncovered, until dark grill marks appear, 1 to 2 minutes. Using tongs, flip chicken and cook until dark grill marks appear and instant-read thermometer inserted into thickest part of chicken registers 160°F, 1 to 2 minutes longer. Transfer chicken to cutting board, let rest, tented with foil, 5 minutes. Slice each breast on bias into 1/4-inch-thick slices and transfer to individual plates. Drizzle with reserved sauce and serve.

Serves 4