Cook the brown rice according to package instructions and set aside.
In a small bowl, whisk together the coconut aminos, rice vinegar, honey, arrowroot powder, and water to create the stir-fry sauce.
Cut the chicken breast into bite-sized pieces and season them with sea salt and black pepper.
Heat the sesame oil in a large skillet or wok over medium-high heat.
Add the chicken to the skillet and sear until golden brown and cooked through, approximately 5 to 6 minutes.
Remove the chicken from the pan and set it aside on a plate.
Add the broccoli florets, sliced bell peppers, minced garlic, and grated ginger to the same pan.
Sauté the vegetables for 3 to 4 minutes until they are tender-crisp, then stir in the red pepper flakes.
Return the cooked chicken to the pan and pour the prepared sauce over the mixture.
Stir constantly for 1 to 2 minutes until the sauce thickens and coats the chicken and vegetables evenly.
Serve the General Tso's chicken and vegetable mixture over the warm cooked brown rice.