Slice the chicken breast into even 1-inch cubes and season with sea salt and black pepper.
In a small glass bowl, whisk together the coconut aminos, raw honey, grated fresh ginger, and minced garlic until well combined.
Heat the avocado oil in a large stainless steel skillet or wok over medium-high heat until shimmering.
Add the chicken cubes to the hot skillet in a single layer and sear until golden brown and cooked through, approximately 6 minutes.
Transfer the cooked chicken to a clean plate and set aside.
Add the broccoli florets and sliced red bell pepper to the same skillet with two tablespoons of water; cover with a lid for 2 minutes to lightly steam the vegetables until they are bright green and tender-crisp.
Remove the lid, return the chicken to the pan, and pour the prepared teriyaki sauce over the mixture.
Stir constantly for 1 to 2 minutes as the sauce bubbles and reduces into a thick, glossy glaze that coats every piece.
Remove from heat, drizzle with toasted sesame oil, and serve immediately over the warm cooked brown rice.
Garnish with sesame seeds for a final touch of texture.