Cut the chicken breast into bite-sized 1-inch cubes and season with sea salt and black pepper.
In a small bowl, whisk together the tamari, honey, grated fresh ginger, and minced garlic to create the stir-fry sauce.
Heat the avocado oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet and sear for 4-5 minutes, stirring occasionally, until golden brown and cooked through.
Remove the chicken from the pan and set aside. Add the toasted sesame oil to the same pan.
Add the broccoli florets and sliced red bell pepper to the pan, sautéing for 3-4 minutes until the vegetables are 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 slightly and coats the chicken and vegetables evenly.
Serve the stir-fry over the cooked brown rice and garnish with sesame seeds.