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1
Toast anchos on a dry comal over medium heat until fragrant and slightly softened, turning often. Do not scorch.
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2
Remove stems and seeds. Soak in water until flesh is fully pliable, about 20 minutes.
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3
Transfer anchos and soaking water to a blender with garlic and salt. Blend until smooth. Adjust water for a sauce that coats a spoon.
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4
Stir beaten eggs into the sauce until fully combined.
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5
Heat lard or oil in a wide skillet over medium-high heat to approximately 180°C / 356°F.
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6
Dip one tortilla into the egg-chile sauce, coating both sides, and allow brief draining.
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7
Fry approximately 10 seconds per side until the coating is set and the surface appears rough and irregular. Drain.
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8
Immediately place a slice of cheese on one half of the tortilla, fold over, and transfer to a warm plate.
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9
Repeat with remaining tortillas. Serve at once.