In a medium skillet over medium heat on the stove, warm the oil. Add the shallot and cook until softened, about 2 minutes, stirring often. Stir in the garlic and cook until aromatic, about 1 minute more. Add the mango juice, sake, miso, and cumin; season with salt and pepper. Bring to a boil, and then remove from the heat and let cool to room temperature. Cover and refrigerate until chilled, about 2 hours.
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Place the pork chops in a large, resealable plastic bag and pour in the chilled marinade. Press the air out of the bag and seal tightly. Place the bag in a large bowl and refrigerate for 4 hours, turning the bag occasionally.
Remove the chops from the bag and reserve the marinade. Pour the marinade into a small saucepan and bring to a boil. Boil for one full minute; remove from the heat. Allow the chops to stand at room temperature for 15 to 30 minutes before grilling.
Prepare the grill for direct cooking over medium heat (180° to 230°C).
Prepare the grill for cooking over medium heat (200°C).
Brush the cooking grates clean. Grill the chops over direct medium heat, with the lid closed, until barely pink in the center, 8 to 10 minutes, turning once or twice and occasionally basting with the boiled marinade. Remove from the grill and let rest for 3 to 5 minutes. Serve warm.
Brush the cooking grates clean. Grill the chops over medium heat, with the lid closed, until barely pink in the center, 8 to 10 minutes, turning once or twice and occasionally basting with the boiled marinade. Remove from the grill and let rest for 3 to 5 minutes. Serve warm.