Cook the Beef Tongue: In a slow cooker, combine the beef tongue with salt and bay leaves. Pour in enough water to fully submerge the tongue. Cook on low for about 8 hours, or until the meat is tender and easily pierced with a fork.
Prepare the Tongue: Take the tongue out of the broth, saving the liquid. Allow it to cool until manageable, then peel off the skin with a knife and your hands. Shred the meat, working from the thicker base to the tip. Transfer to a bowl and mix in 3 to 4 tablespoons of the reserved broth to keep the meat moist.
Make the Avocado Chimichurri: Place the avocado, beef stock, cilantro, parsley, salt, lemon juice, lime juice, vinegar, and oregano into a blender or food processor. Blend until smooth. Transfer to a bowl, cover, and refrigerate until ready to use.
Prepare the Sweetbreads: Rinse the sweetbreads thoroughly under cold water. Soak them in a bowl with water and vinegar for 5 minutes, then drain. Place in a saucepan, season with salt, and add water to cover. Bring to a boil, lower the heat, and simmer with the lid on until the sweetbreads become firm and pale beige, around 15 minutes. Drain, cool, and pat dry. Cut into ½-inch pieces.
Cook the Sweetbreads: Heat tallow in a skillet over medium-high heat. Add the sweetbreads and sauté until golden and crisp, about 5 minutes.
Make the Cilantro-Celeriac Rice: Blend the celeriac in a food processor until it resembles rice grains. Heat tallow in a large skillet over medium heat and sauté the celeriac until tender, about 5 minutes. Remove from heat and stir in cilantro, lime juice, and salt.
Assemble the Tacos: Spread a portion of avocado chimichurri onto each tortilla. Top with shredded beef tongue and crispy sweetbreads. Drizzle with extra broth to keep the filling juicy. Serve with celeriac rice and garnish with cilantro. Adjust seasoning with salt if needed.