In a small bowl, whisk together the coconut aminos, rice vinegar, honey, grated ginger, minced garlic, red pepper flakes, and arrowroot powder until smooth.
Season the cubed chicken breast with sea salt and black pepper.
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 aside.
Add the broccoli florets and sliced red bell pepper to the same skillet, adding a splash of water if needed to steam-sauté until tender-crisp.
Return the chicken to the pan and pour the prepared sauce over the mixture.
Toss everything together for 1-2 minutes until the sauce thickens and becomes glossy.
Remove from heat and stir in the toasted sesame oil.
Serve the stir-fry immediately over the warm cooked brown rice.