Cook the brown rice according to package instructions and set aside.
In a small bowl, whisk together the tamari, honey, minced ginger, minced garlic, arrowroot powder, and water to create the teriyaki glaze.
Slice the chicken breast into bite-sized pieces and season with sea salt and black pepper.
Heat the sesame oil in a large skillet or wok over medium-high heat.
Add the chicken to the skillet and cook until golden brown and cooked through, about 5-7 minutes.
Add the broccoli florets and sliced red bell pepper to the skillet, sautéing for 3-4 minutes until the vegetables are tender-crisp.
Pour the teriyaki glaze over the chicken and vegetables, tossing constantly for 1 minute until the sauce thickens and becomes glossy.
Serve the stir-fry immediately over the cooked brown rice.