In a large mixing bowl, combine the rinsed black beans, black-eyed peas, drained sweet corn, and diced tomatoes. Stir in the diced avocado, chopped onion, and chopped cilantro.

Pour in the zesty Italian dressing and freshly squeezed lime juice over the combined ingredients. Fold the dressing into the mixture, ensuring each ingredient is evenly coated.

Cover the bowl tightly with plastic wrap or a lid, and refrigerate the Cowboy Caviar for at least one hour.

Once chilled, gently stir the Cowboy Caviar and serve it in a colorful bowl alongside tortilla chips for dipping or as a side salad.