Marinate the chicken: In a large mixing bowl, combine the chicken pieces with 2 tablespoons lime juice, 1 tablespoon olive oil, 1 tablespoon Adobo seasoning, 1 teaspoon cumin, and 1 teaspoon onion powder. Toss well to evenly coat. Cover and marinate for 30 minutes at room temperature (or in the fridge if prepping ahead).
Brown the chicken: Heat a large heavy-bottomed pot or dutch oven over medium heat. Add the remaining 1 tablespoon of olive oil. Working in batches, sear the chicken (3–4 pieces at a time) for 4–5 minutes per side, until nicely browned. Then, set the chicken aside on a clean plate. At this stage, we're not cooking the chicken all the way through, just building a rich, golden sear. Tip: Don't overcrowd the pot or the chicken will steam instead of brown. Sauté the aromatics: Return the same pot to medium heat. Add the diced onion and green bell pepper. Cook, stirring occasionally, until softened and slightly golden—about 5-8 minutes.
Add the sofrito and garlic:Stir in ¼ cup sofrito and the minced garlic and cook for 30-60 seconds.
Add the seasonings: Finally, add 1 tablespoon Sazón seasoning, 2 tablespoon tomato paste, 1 tablespoon Mexican oregano, and 1 teaspoon chicken bouillon (if using). Cook everything for about 1 minute, just until fragrant and the tomato paste darkens slightly.
Build the stew: Nestle the browned chicken pieces back into the pot, layering them gently on top of the sofrito mixture. Pour in enough water to just cover the chicken (about 4–6 cups, depending on your pot size) and add the bay leaves. Bring everything to a boil over high heat.
Simmer low and slow: Once boiling, reduce the heat to low, cover the pot, and let it simmer gently for 20 minutes.
Add the veggies and simmer: Stir in the carrots, potatoes, and olives (if using). Cover again and simmer for an additional 20-30 minutes, until the veggies are tender and the chicken is nearly falling off the bone.
Simmer uncovered: Uncover the pot and let it simmer for an additional 5–10 minutes, or until the broth has thickened to your preferred consistency. Taste and adjust seasoning if needed—add more salt, a touch of black pepper, or a squeeze of lime if you want brightness.
Serve: Enjoy over fluffy white rice garnished with fresh chopped cilantro if desired.