Prep the Brisket: Rub the brisket with yellow mustard to help the seasoning stick. Generously apply the brisket rub all over the meat.
Preheat the Smoker: Heat your smoker to 225°F (107°C) and add wood chips or chunks for smoking.
Smoke the Brisket: Place the brisket on the smoker and smoke for 5-6 hours, or until the internal temperature reaches 190°F (88°C). The brisket should be tender but still firm enough to cut.
Rest and Slice: Let the brisket rest for at least 30 minutes before slicing it into small cubes for the chili.
Sauté the Veggies: In a large Dutch oven or heavy pot, heat olive oil over medium heat. Add the diced onion, red bell pepper, green bell pepper, and jalapeños. Sauté until softened, about 5-7 minutes.
Add Garlic and Tomato Paste: Stir in the minced garlic and tomato paste. Cook for 2 minutes, allowing the tomato paste to caramelize slightly.
Add Tomatoes: Pour in the crushed tomatoes, diced tomatoes, and beef broth. Stir well to combine.
Add Spices: Stir in the chili powder, cumin, smoked paprika, oregano, salt, pepper, brown sugar (if using), and Worcestershire sauce.
Add Brisket and Beans: Add the cubed smoked brisket and drained kidney beans to the pot.
Simmer: Bring the chili to a simmer, then reduce the heat to low. Cover and let it simmer for 1-2 hours, stirring occasionally to let the flavors meld.
Season to Taste: Taste the chili and adjust the seasoning with additional salt, pepper, or spices as needed.
Thicken if Needed: If you prefer a thicker chili, let it simmer uncovered for the last 30 minutes.
Garnish and Enjoy: Serve hot with your favorite garnishes like shredded cheese, sour cream, sliced green onions, and jalapeños.