1. Preheat a grill with high, medium high, and medium zones. Lightly oil grates.
2. Season chicken with salt and black pepper, to taste and place it skin-side down on grate on high heat. Cook until skin is crisp, turning once, about 5 minutes. Dip each piece of chicken in sauce, shake off excess, and return to grill-dark meat pieces over medium high and white meat over medium heat. Cook, covered, basting once more, until glazed and an instant-read thermometer inserted in thickest part of each piece of chicken registers 170degreesF, about 25 to 30 minutes.
Kansas City-Style BBQ Sauce:
1. Heat the oil in a medium saucepan over medium heat. Stir in the garlic, tomato paste, chili powder, paprika, red pepper flakes, allspice, and cloves and cook, stirring, until paste is dark brick red, about 3 minutes. Add the ketchup, water, vinegar, molasses, brown sugar, salt, soy sauce, Worcestershire, mustard, black pepper, and bay leaf.
2. Adjust the heat to maintain a gentle simmer and cook until the flavors come together, about 30 minutes. Remove and discard bay leaf before using.
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