In a small bowl, whisk together the tamari, honey, minced ginger, and minced garlic to create the stir-fry sauce.
Slice the chicken breast into thin, bite-sized strips and season lightly with a pinch of red pepper flakes.
Heat the avocado oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet and cook for 5-6 minutes, stirring occasionally, until golden brown and cooked through.
Remove the chicken from the pan and set aside on a plate.
Add the toasted sesame oil to the same pan, then toss in the broccoli, sliced bell peppers, and snap peas.
Sauté the vegetables for 3-4 minutes until they are bright green and tender-crisp.
Return the chicken to the pan and pour the sauce over the mixture, tossing constantly for 1 minute until the sauce thickens and coats everything evenly.
Serve the stir-fry immediately over the warm cooked brown rice.
Garnish with sesame seeds and the remaining red pepper flakes for a touch of heat.