Chicken Shawarma

Name: Chicken Shawarma
Prep time: 10 min
Cook time: 1 h
Total time: 1 h 10 min
Cuisine: Middle Eastern
Ingredients: 1 pound boneless skinless chicken breasts ((2 large breasts)); 1 pound boneless skinless chicken thighs ((4 large thighs)); 6 tablespoons extra virgin olive oil (divided); 2 teaspoons cumin; 2 teaspoons paprika; 1 teaspoon allspice; 3/4 teaspoon turmeric; 1/4 teaspoon garlic powder; 1/4 teaspoon cinnamon; 1 pinch cayenne; Salt and black pepper; Nonstick cooking oil spray; Grill or baking sheet, tongs, skillet, spatula, plastic wrap