Toss the chicken with lime juice, half the garlic, half the salt, and pepper. Let stand for 15 minutes.
Heat the oil in a heavy pot. Brown the chicken in batches for 8 to 10 minutes and transfer it to a plate.
Build the Rice:
Cook the onion, bell pepper, tomato, and carrot for 7 minutes. Add the remaining garlic and turmeric and cook for 30 seconds.
Stir in the rice for 2 minutes. Add the stock and remaining salt, then nestle the chicken into the rice.
Simmer:
Bring to a gentle simmer, cover, and cook over low heat for 25 minutes. Add the peas, cover again, and cook for 5 to 10 minutes until the rice is tender and the chicken reaches 175 F (80 C).
Rest off the heat for 10 minutes, fluff gently, and finish with parsley.
Notes
If using salty stock, reduce the added salt and adjust at the end.
Avoid stirring after the stock begins simmering so the rice remains fluffy.