Cut the chicken breast into bite-sized pieces and finely mince the garlic and fresh ginger.
In a small bowl, whisk together the tamari, honey, red pepper flakes, arrowroot powder, and water to create the stir-fry sauce.
Heat the avocado oil in a large skillet or wok over medium-high heat.
Add the chicken to the skillet and cook until golden brown and cooked through, approximately 5-7 minutes.
Remove the chicken from the pan and set it aside on a plate.
Add the toasted sesame oil to the same skillet, then toss in the broccoli and red bell peppers, sautéing until they are vibrant and crisp-tender.
Stir in the minced garlic and ginger, cooking for 30 seconds until the mixture becomes fragrant.
Return the cooked chicken to the pan and pour the prepared sauce over the ingredients.
Stir constantly for 1-2 minutes until the sauce thickens into a glossy glaze that coats the chicken and vegetables.
Serve the stir-fry immediately over the warm cooked brown rice and garnish with toasted sesame seeds and sliced green onions.