Separate the chicken wings into drums and flats if necessary. Pat them thoroughly dry and place them in a large mixing bowl.
Add 1–2 tablespoons of olive oil and toss to coat.
Season with kosher salt, garlic powder, smoked paprika, and black pepper. Toss well, then add the cornstarch and toss again.
Refrigerate the seasoned wings for 20 minutes.
Preheat the grill for indirect cooking at 375°F and add mesquite wood chunks.
Place the wings on the grill and cook for 20 minutes.
Flip the wings and continue grilling.
Meanwhile, heat the remaining olive oil in a saucepan over medium heat. Add the garlic and cook for 2–3 minutes.
Add the soy sauce, ginger, brown sugar, sweet chili sauce, hoisin sauce, honey, mirin, and sesame oil.
Simmer for 6 minutes, then remove from the heat and let cool slightly.
Continue cooking the wings until they reach 175°F internally.
Transfer the wings to a large bowl, pour the teriyaki sauce over them, and toss until evenly coated.
Serve immediately.