Preheat the oven to 300°F. Heat 2 tablespoons oil in a Dutch oven over medium-high heat. Working in batches if necessary, brown the short ribs on all sides, 2 to 3 minutes per side. Transfer the ribs to a plate and clean the pot. Add the garlic, scallion whites and pale greens and remaining 2 teaspoons oil to the Dutch oven and cook over medium heat, stirring, until lightly browned, about 1 minute. Stir in the tomato paste and cook until the color darkens, about 30 seconds. Add the Canada Dry Ginger Ale and soy sauce and bring to a boil, stirring to incorporate the tomato paste. Gently place the ribs and any accumulated juices in the pot. Cover and cook in the oven until fork-tender, about 1½ hours. Transfer the pot to the stovetop, uncover and cook over medium heat, spooning the sauce over the ribs occasionally so they don't dry out, until the sauce is very thick and glazes the ribs, 25 to 30 minutes more. Meanwhile, finely chop the scallion greens. Mix half of them together with the jalapeno, lime zest and sesame seeds in a small bowl. (Reserve the remaining greens for another use.) Transfer the ribs to a platter, sprinkle with the sesame mixture and serve with lettuce leaves, steamed rice and kimchi.
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