Start by heating 2 tablespoons of oil in a very large pot over medium-high heat. Add the beef stew meat and cook until it’s browned, which should take about 4 to 6 minutes. This browning process is crucial as it enhances the flavor of the meat. Once browned, remove it from the pot and set aside.
In the same pot, add the remaining 1 tablespoon of oil and toss in the chicken breasts. Cook them until they are browned and cooked through, about 4 to 6 minutes. Following this step, remove the chicken and set it aside with the beef.
Add the yellow onions to the pot, stirring frequently over medium-low heat. You want them to become translucent and fragrant, which should take about 10 minutes. This step will infuse the oil with the sweet aroma of onions.
Once the onions are ready, return the cooked beef and chicken to the pot. Pour in the beef stock and allow it to simmer over medium heat for about 30 minutes. This will help tenderize the meats and meld the flavors beautifully.
Now it’s time to add the remaining ingredients. Toss in the carrots, celery, green beans, potatoes, corn, lima beans, and canned crushed tomatoes. Stir everything together thoroughly and let it cook for another 20 to 25 minutes over medium-low heat. You’re looking for the vegetables to be tender but not mushy.
Finally, once everything is cooked and the flavors have mingled, finish with the fresh parsley, sea salt, and pepper to taste. Serve warm, and watch as everyone dives in for seconds!