In a medium bowl, combine the sambal, sugar, lime juice, olive oil, garlic, ginger, mirin, fish sauce and sesame oil and whisk well. Let stand at room temperature for at least 1 hour and up to 4 hours.
Place the shrimp and all but 1/2 cup of the marinade in a 1-gallon resealable plastic food storage bag. Reserve the remaining marinade. Let the shrimp marinate 1 hour.
Preheat a grill to medium high. Remove the shrimp from the marinade. Place the shrimp on the grill and cook until they are just cooked through, 2 to 2 1/2 minutes per side.
Place the shrimp in a large bowl and add the reserved 1/2 cup marinade along with the cilantro and mint. Toss well to combine. Transfer the shrimp to a large serving bowl or platter and serve immediately.
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