Thoroughly wash the beef tongue and place it in a large pot. Cover with enough water to submerge the tongue completely.
Add the whole white onion, garlic cloves, bay leaves, dried oregano, ground cumin, salt, and black pepper.
Simmer the tongue over low heat for 3-4 hours, or until it is very tender. Remove from the water and let it cool slightly.
Peel off the outer, thicker skin of the beef tongue. Dice the meat into small cubes.
Heat olive oil or lard in a skillet over medium heat. Sauté the diced tongue until lightly crispy.
Lightly toast the corn tortillas in a dry skillet to keep them pliable.
Serve the sautéed beef tongue on the warm tortillas. Top with chopped red onion and fresh cilantro. Serve with lime wedges so everyone can squeeze fresh lime juice over their tacos.
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