Dice the chicken breast into small, uniform bite-sized pieces.
Heat the avocado oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the pan and sauté until golden brown and cooked through, then remove the chicken and set it aside.
In the same pan, add the diced carrots and cook for 2-3 minutes until they begin to soften.
Stir in the minced garlic and ginger, cooking for about 30 seconds until the mixture becomes highly aromatic.
Add the chilled brown rice to the skillet, breaking up any clumps and pressing it flat to allow the bottom to crisp for 2-3 minutes.
Push the rice and vegetables to the outer edges of the pan, crack the egg into the center, and scramble it until just set.
Incorporate the egg into the rice mixture, then stir in the cooked chicken, frozen peas, tamari, and toasted sesame oil.
Toss everything together for another minute until the peas are bright green and the dish is steaming hot.
Garnish with sliced green onions and sesame seeds before serving immediately.