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Step 1
Preheat oven to 325 degrees F (165 degrees C).
Step 2
Heat vegetable oil in a Dutch oven over medium heat. Cook beef in Dutch oven until browned on all sides, 2 to 3 minutes per side.
Step 3
Mix brown sugar, salt, mustard, and black pepper together in a small bowl; sprinkle evenly over the roast. Arrange potatoes, carrots, and onion in the Dutch oven around the roast. Pour vinegar and water over the vegetables.
Step 4
Place a cover on the Dutch oven and put in preheated oven. Cook until the roast is hot in the center, and just turning from pink to grey, about 4 hours. An instant-read thermometer inserted into the center should read 150 degrees F (65 degrees C).