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Heat 3 tablespoons of the olive oil in a large pan over medium heat. Add the sliced onions, reduce heat to medium-low, and allow the onions to cook and caramelize while you create the patties, stirring every five minutes, and removing from heat after 20-30 minutes or until they turn golden brown.
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Place the ground turkey, egg, butter, remaining olive oil, minced garlic, and all of the dried spices in a large bowl. Mix them together all with your hands until they are evenly blended. Then create 4 to 6 patties, about 5 inches in diameter and one inch thick. You can make them larger or smaller depending on your burger size preference. Refrigerate the patties until the onions are done cooking.
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Remove the onions from the pan with a slotted spoon and place them in a small bowl. Then cook the burgers in the same pan, flipping every few minutes so that both sides of the patty are cooked, until the internal temperature of the patties reaches at least 165 degrees Fahrenheit.
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Place the patty on one end of the leaf of lettuce. Place a slice of the goat cheese on top of the turkey, then the caramelized onions on top of the cheese, then a teaspoon of thousand island, then a tomato slice, and then a teaspoon of ketchup. Grab the other end of the lettuce, and wrap it over the top of the burger so that it meets the other end of the lettuce leaf underneath the burger. Secure with a toothpick, and serve immediately.