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Mix first 9 ingredients in small bowl with wire whisk. Reserve 1/4 of the marinade. Pour remaining marinade into large resealable bag. Add shrimp; turn to coat well. Refrigerate 15 minutes.
Meanwhile, mix cabbage, mango and onion in large bowl. Add reserved marinade; toss to coat. Cover. Refrigerate until ready to serve
Brush 1 side of each tortilla with oil. Grill, oil-side down, over medium heat 2 to 4 minutes or until lightly browned. Remove tortillas; cover with towel to keep warm
Remove shrimp from marinade. Discard any remaining marinade. Grill shrimp over medium heat 2 to 3 minutes per side or until shrimp turn pink. To serve, place 3 shrimp on each tortilla. Top with slaw and serve immediately.