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["Preheat the broiler.", "Heat the tortillas by toasting them one at a time in a dry cast-iron skillet or directly over a gas flame until lightly toasted; Place on a baking sheet, spread each tortilla with 1/4 cup of refried beans, and cover to keep warm.", "Working in batches as needed, heat the butter in a large skillet over medium-high heat until it is very hot but not smoking and the foaming has subsided; Crack the eggs directly into the hot butter and reduce the heat to medium-low or low; Fry the eggs, shaking the pan occasionally to keep the eggs from sticking; Season the eggs with salt and pepper; Fry to the desired doneness, about 2 minutes for ""sunny-side up,"" 3 minutes for medium yolks, and 4 minutes for hard yolks; Or, once the whites are just opaque, turn the eggs and cook for 30 seconds more for ""over easy,"" 1 minute more for ""over medium,"" or 2 minutes more for ""over hard."".", "Top each tortilla with 2 fried eggs and 2 tablespoons of the grated cheese; Slide the tortillas under the broiler to melt the cheese.", "Meanwhile, dice the avocado and toss with the lime juice to prevent the avocado from discoloring.", "Top each serving with 2 tablespoons salsa and 2 tablespoons sour cream; Divide the avocado among the tortillas; Garnish each tortilla with 1 tablespoon cilantro and 1 tablespoon green onion and serve."]