Preheat the grill to 400–450°F.
Pour 1/3 cup of the reserved sauce into a separate container for brushing the chicken on the grill (this keeps it uncontaminated for brushing).
Place the marinated chicken on the grill and cook for 5–6 minutes. Flip, brush with brushing sauce, and grill for another 5–6 minutes.
Flip once more, brush with more sauce, and cook for an additional 1–2 minutes until the glaze is caramelized and the chicken is fully cooked.