01 - Heat 1 tablespoon of olive oil in a skillet over medium heat. Add the chopped onion, grated carrot, and diced bell pepper. Sauté for 3 to 4 minutes until the vegetables are softened. Add the minced garlic and cook for 1 additional minute until fragrant. Remove from heat and let cool slightly.
02 - Place the drained and rinsed black beans in a large mixing bowl. Using a potato masher or fork, mash the beans to a coarse consistency, leaving some chunks intact for a satisfying texture.
03 - Add the sautéed vegetables, rolled oats, breadcrumbs, egg, smoked paprika, ground cumin, salt, black pepper, and chopped parsley to the mashed beans. Mix thoroughly until all ingredients are evenly incorporated. If the mixture is too wet, add additional breadcrumbs one tablespoon at a time. If too dry, add a splash of water.
04 - Divide the mixture into 4 equal portions and shape each into a firmly packed burger patty, approximately 3/4 inch thick.
05 - Heat the remaining 1 tablespoon of olive oil in a skillet over medium-high heat. Carefully place the patties in the skillet and cook for 4 to 5 minutes per side until golden brown and heated through. Alternatively, grill the patties over medium heat for a charred finish.
06 - Toast the burger buns lightly if desired. Layer each bun bottom with a cooked patty and your choice of toppings including lettuce, tomato slices, pickles, onion, cheese, and sauces. Cap with the bun top and serve immediately.