Heat a large skillet or cast iron pan over medium-high heat. Add ground beef, diced onion, and diced green bell pepper. Cook for 6–8 minutes, breaking up the beef into small crumbles with a wooden spoon, until meat is browned and vegetables are tender. Drain any excess fat if needed.

Add minced garlic and cook for 1 additional minute until fragrant.

Stir in tomato sauce, tomato paste, brown sugar, Worcestershire sauce, mustard, smoked paprika, chili powder, sea salt, black pepper, and beef broth.

Reduce heat to medium-low and simmer uncovered for 8 to 10 minutes, stirring occasionally, until the sauce thickens and coats the meat in a rich, glossy glaze.

Lightly butter the cut sides of your brioche buns and toast them in a hot skillet until golden brown.

Spoon generous scoops of the hot Sloppy Joe filling onto the bottom buns, top with cheese or pickles if desired, cap with top buns, and serve immediately.