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 softened. Add the minced garlic and cook for 1 additional minute until fragrant. Remove from heat and let cool slightly.
02 - In a large mixing bowl, add the drained and rinsed black beans. Using a potato masher or fork, mash the beans while leaving some chunks intact for a hearty 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 well 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. Shape each portion into a firm burger patty, approximately 3/4 inch thick, pressing tightly so they hold together during cooking.
05 - Heat the remaining 1 tablespoon of olive oil in a skillet over medium-high heat. 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 on an outdoor grill for similar timing.
06 - Toast the burger buns lightly if desired. Layer each bun bottom with a cooked patty and your choice of lettuce, tomato slices, pickles, onion, cheese, and condiments. Cap with the bun top and serve immediately.