Pat the chicken breast dry with a paper towel and season both sides with sea salt and black pepper.
In a small glass bowl, whisk together the tamari, honey, sesame oil, grated fresh ginger, and minced garlic to create the teriyaki glaze.
Heat the avocado oil in a large stainless steel or cast iron skillet over medium-high heat.
Place the chicken in the skillet and sear for 5 to 6 minutes per side, or until the internal temperature reaches 165°F and the exterior is golden brown.
Remove the chicken from the pan and let it rest on a cutting board; meanwhile, add the broccoli florets and sliced red bell pepper to the same skillet.
Add a tablespoon of water to the skillet and cover with a lid for 2 minutes to lightly steam the vegetables until they are tender-crisp.
Remove the lid, pour the prepared teriyaki glaze into the skillet, and return the chicken to the pan, tossing everything together for 1 minute until the sauce thickens and becomes glossy.
Slice the chicken into strips and serve alongside the vegetables over a bed of warm cooked brown rice.
Garnish the entire dish with a sprinkle of sesame seeds before serving.