Cut the chicken breast into bite-sized pieces and season with sea salt, black pepper, minced garlic, and fresh thyme.
Heat the avocado oil in a heavy-bottomed pot or Dutch oven over medium-high heat.
Add the coconut sugar to the center of the pot and allow it to melt and bubble until it turns a dark, amber brown color.
Carefully add the seasoned chicken to the caramelized sugar, stirring quickly to ensure every piece is evenly coated and browned.
Stir in the diced onion, carrots, and rinsed pigeon peas, sautéing for 3-4 minutes until the vegetables begin to soften.
Add the dry brown rice to the pot and stir for 1 minute to toast the grains slightly.
Pour in the lite coconut milk and water, ensuring all the browned bits are scraped from the bottom of the pot.
Bring the mixture to a boil, then immediately reduce the heat to low and cover the pot with a tight-fitting lid.
Simmer for 35-40 minutes, or until the rice is tender and all the liquid has been absorbed.
Remove from heat and let the pelau sit, covered, for 5 minutes before fluffing with a fork and serving.