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Step 1
Season pork well with salt and pepper.Heat oil in a large Dutch oven over medium-high heat. Add pork and sear well on all sides. (You may have to do this in more than 1 batch.)
Step 2
Add onion and garlic and cook 1 minute. Add chicken broth and red pepper flakes.
Step 3
Place Dutch oven uncovered in a 300 degree oven for 2 1/2 hours. Remove and let cool.Shred pork with 2 forks and set aside.Pour the liquid through a fine-meshed strainer into a large measuring cup. Discard any oil on top.
Step 4
Wipe the Dutch oven clean and add 1 tablespoon of oil to it. Heat over medium-high heat. Add onion and potatoes and cook until onion is soft. Add the pork on top of the potato mixture. Pour in 1 cup of the cooking liquid and simmer until the potatoes are soft.
Step 5
Let cool slightly and then transfer to a blender or food processor and pulse a few times to get eveything good and chopped up. Return to the Dutch oven.Note: If you have an immersion blender, you do this step right in the Dutch oven.
Step 6
Add the ketchup, mustard bbq sauce, and 1/4 cup vinegar, 2 teaspoons pepper, and 1 teaspoon hot sauce. Stir well and cook over medium-low heat for 5 minutes.
Step 7
Taste the hash and add in more vinegar, pepper, and hot sauce if desired.
Step 8
Cube butter and add to mixture. Stir until it is melted and mixed in.
Step 9
Serve with rice.