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Step 1
Prepare meat and dried chiles: Remove any large pieces of fat from the chuck roast. Cut it into a few large pieces and season with salt. Rinse the chiles (use gloves if desired), then use scissors to remove the stem and make a slit along the side to open them and remove the seeds. (The arbol chiles are hottest, so for less heat, remove the seeds, or omit these chiles completely. If you like extra spice, leave them whole).
Step 2
Make sauce: Add tomatoes and onion to a large stock pot (at least 5.5qt pot of bigger) over medium heat. Cook for a few minutes, stirring. Add whole garlic cloves, chile peppers, and all of the spices except the bay leaf. Cook for 5 minutes, stirring often. Add vinegar and 4 cups water. Bring to a low boil, reduce heat to simmer and cook for 15 minutes, uncovered.
Step 3
Blend sauce: Add mixture to a blender and blend as smooth as possible. Pour mixture through a fine mesh strainer, back into the pot. Add 4 cups of water to the blender and swirl it around to clean excess sauce from the blender, then add it to the pot.
Step 4
Add meat and simmer: Add 1 tablespoon kosher salt. Bring to a boil. Add short ribs, chuck roast and 3 bay leaves. Cover, reduce heat to a simmer and cook for 2 ½ hours.
Step 5
Shred meat: Check meat to make sure it’s tender. Remove meat to a plate and chop or shred into pieces. Discard bones and bay leaves.
Step 6
Dip tortillas in broth: Heat a large griddle or skillet over medium heat. Coat pan with a small amount of oil. Dip a corn tortilla into the birria sauce and lay tortilla on hot pan.
Step 7
Add taco toppings: Quickly top with a spoonful of shredded meat, a sprinkle of cheese and a little chopped onion and cilantro.
Step 8
Pan fry: Fold tortilla over, in half. Fry for several minutes, until crispy and browned on the bottom. Flip and cook until crispy and browned on the other side. Remove to a plate, for serving.
Step 9
Garnish and Serve: Sprinkle remaining chopped white onion and cilantro on top of tacos. Serve with a cup of warm consommé broth, for dipping. I also have a delicious hot salsa recipe in the notes, that takes these tacos over the top!