Sauté Vegetables: In the same pot, add the diced onion and bell pepper. Cook for about 5 minutes, stirring occasionally, until softened. Add the tomato paste and stir well to coat the vegetables.
Add the Rice: Add the rinsed rice to the pot, stirring to combine it with the vegetables and tomato paste. Cook for another 2 minutes, allowing the rice to toast slightly.
Add the Broth and Spices: Pour in the chicken broth, and add the turmeric, black pepper, and bay leaf. Bring the mixture to a boil, then reduce the heat to low.
Return the Chicken to the Pot: Nestle the browned chicken pieces back into the rice, ensuring they are partially submerged in the broth. Cover the pot with a tight-fitting lid.
Cook the Rice: Let the rice and chicken simmer on low heat for 35-40 minutes, or until the rice is cooked through and the chicken is tender. Do not lift the lid during the cooking process, as this will disrupt the steam needed to cook the rice properly.
Add the Vegetables: In the last 10 minutes of cooking, add the frozen peas, carrots, and olives (if using). Stir gently to combine, and continue cooking until the vegetables are heated through.
Rest and Fluff: Once the rice is cooked and the chicken is tender, remove the pot from the heat and let it rest, covered, for about 5 minutes. This allows the flavors to meld and the rice to firm up.