In a small bowl, whisk together the coconut aminos, rice vinegar, honey, minced fresh ginger, minced garlic, arrowroot powder, and red pepper flakes to create the sauce.
Heat the avocado oil in a large non-stick skillet or wok over medium-high heat.
Add the diced chicken breast to the skillet and cook until golden brown and fully cooked through, approximately 6 to 8 minutes.
Remove the chicken from the pan and set aside; add the broccoli florets and sliced red bell pepper to the same pan with a splash of water.
Cover the pan and steam the vegetables for 3 minutes until tender-crisp.
Return the chicken to the skillet, pour the prepared sauce over the mixture, and stir constantly for 1 minute until the glaze thickens and coats the ingredients.
Remove from heat, drizzle with toasted sesame oil, and serve over the warm brown rice.
Garnish with sliced green onions and sesame seeds before serving.