In a medium bowl, mix to combine beef, salt, and pepper. Do not over mx. Divide mixture into 12 pieces and shape into small patties. Place on a baking sheet and refrigerate. In another medium bowl, whisk together mayonnaise, soy sauce, vinegar, and garlic until smooth. Add cabbage, carrot, and cilantro and toss to combine. Set aside. In a medium saucepan, combine juice drink, brown sugar, soy sauce, Gochujang, and pepper. Bring to a boil over medium-high and boil until reduced and syrupy, about 10 minutes. Take off the heat and stir in sesame oil. Prepare a hot grill fire, or preheat a grill pan over medium-high until hot. Cook burger patties, flipping once, until browned on both sides and cooked to desired degree of doneness, about 2 minutes per side. Place each patty on a slider bun, spoon sauce over them, and top with slaw.