Remove the skin off the chicken (see notes) and place in a large bowl.
Dice half of the peppers and slice the other halves into thin strips. Dice half the onion and cut the remaining half into thin slices.
To the chicken bowl, add the diced peppers, diced onion, lime juice, garlic, oregano, Sazon (if using), 1 teaspoon salt and 1/4 teaspoon pepper. Toss to combine and set aside to marinate for at least 15 minutes, one hour (refrigerated) is best.
Heat oil in a large skillet that has a lid over medium-high heat. Sprinkle the sugar in the middle of the pan (if using). As soon as the sugar starts to turn brown, carefully, add the chicken pieces, leaving behind as much of the chopped vegetables and marinade as possible. Do not discard the marinade. Cook, undisturbed, until chicken pieces have browned, about 3 minutes. Flip and cook for another 2 to 3 minutes.
Add 1/4 of water to the bowl with the leftover marinade and mix to combine. Sprinkle the mixture all over the chicken. Cover, and simmer over medium-low heat, stirring the chicken around once or twice, about 20 minutes.
In a small bowl, mix the tomato paste, chicken bouillon, if using, and 1/4 cup water.
Remove the lid and add the chopped tomatoes, sliced peppers, sliced onion, and bay leaf, if using. Drizzle in the tomato paste mixture, cover, and simmer again until the vegetables have slightly softened, and the chicken is cooked through, about 15 minutes more.
Add the olives and a few tablespoons of olive brine. At this point you can add 1/4 cup more water if you feel it needs it, I rarely do. Cook, uncovered, to allow all the sauce to thicken just slightly, about 3 minutes. Taste and adjust seasonings with a little salt and pepper.
Stir in the fresh cilantro and serve with rice and beans, if desired.