Step 1: Prepare the Chili Base : Heat olive oil in a large oven-safe skillet or Dutch oven over medium heat. Add ground pork and cook until browned, breaking it apart with a spoon. Add onion, garlic, bell pepper, and jalapeño. Cook until softened, about 5 minutes. Stir in tomato paste, chili powder, cumin, paprika, oregano, salt, and pepper. Add black beans, diced tomatoes, corn, tomato sauce, and broth. Simmer for 10–15 minutes until thickened slightly.
Step 2: Prepare the Cornbread Batter : In a mixing bowl, whisk together cornmeal, flour, sugar, baking powder, and salt. In another bowl, whisk milk, eggs, and melted butter. Combine wet and dry ingredients until just mixed (do not overmix).
Step 3: Assemble and Bake : Spoon cornbread batter evenly over the chili mixture in the skillet. Smooth the top with a spatula. Bake in a preheated oven at 400°F (200°C) for 20–25 minutes, until the cornbread is golden brown and a toothpick inserted in the center comes out clean.
Step 4: Rest and Serve : Let rest for 10 minutes before serving so the flavors meld and the chili thickens.