In a small bowl, whisk together the coconut aminos, honey, minced fresh ginger, and minced garlic to create the teriyaki base.
Season the diced chicken breast evenly with the sea salt and black pepper.
Heat the avocado oil in a large stainless steel skillet or wok over medium-high heat until shimmering.
Add the chicken to the pan in a single layer and sear for 5-6 minutes, turning occasionally, until golden brown and cooked through.
Remove the chicken from the pan and set aside; add the broccoli florets and sliced bell peppers to the same pan with two tablespoons of water.
Cover the pan for 2 minutes to steam the vegetables until they are tender-crisp and bright green.
Return the chicken to the pan, pour the sauce mixture over the top, and drizzle with toasted sesame oil.
Toss everything together for 1-2 minutes until the sauce thickens slightly and coats the ingredients in a glossy glaze.
Serve the stir-fry immediately over the warm cooked brown rice.