In a large pot or Dutch oven, heat a little oil over medium-high heat. Brown the beef, pork, and chicken in batches, then remove and set aside.
In the same pot, add the onions, garlic, bell peppers, and tomatoes. Sauté until softened.
Stir in the tomato paste, oregano, cumin, paprika, salt, and black pepper. Cook for another 2-3 minutes to develop the flavors.
Return the browned meat to the pot. Add the beef or chicken broth and bring to a boil. Reduce the heat to low and simmer for 30 minutes.
Add the yam, taro root (if using), plantains, carrots, and celery to the pot. Simmer for an additional 30 minutes.
Add the potatoes and corn chunks. Continue to simmer until all vegetables and meat are tender, about 20-30 minutes.
Stir in the chopped cilantro and lime juice. Adjust seasoning with salt and pepper as needed.
Enjoy your meal!