Slice the chicken breast into bite-sized pieces and toss them in a bowl with the arrowroot powder, sea salt, and black pepper until evenly coated.
Heat the sesame oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the pan in a single layer and sear until golden brown and cooked through, then remove and set aside.
In the same pan, add the broccoli florets, sliced red bell pepper, and minced garlic, sautéing for 3-4 minutes until vibrant and crisp-tender.
In a small bowl, whisk together the honey and tamari until well combined.
Return the cooked chicken to the skillet with the vegetables and pour the honey-tamari mixture over the top.
Toss everything together for 1-2 minutes until the sauce thickens into a glossy glaze that coats every piece.
Serve the stir-fry immediately over the warm, fluffy cooked brown rice.