In a small bowl, whisk together the coconut aminos, honey, minced ginger, and minced garlic to create the teriyaki sauce.
Slice the chicken breast into bite-sized pieces and season evenly with the sea salt and black pepper.
Heat the avocado oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet and cook for 5-6 minutes, stirring occasionally, until golden brown and cooked through.
Remove the chicken from the pan and set aside on a plate.
In the same skillet, add the broccoli florets and sliced red bell pepper with a tablespoon of water, then cover with a lid for 2 minutes to steam.
Remove the lid and sauté the vegetables for another 2 minutes until they are tender-crisp and the water has evaporated.
Return the chicken to the skillet and pour the prepared teriyaki sauce over the chicken and vegetables.
Toss everything together for 1-2 minutes until the sauce has thickened into a glossy glaze that coats every piece.
Serve the stir-fry immediately over the warm, cooked brown rice and garnish with sesame seeds.