Slice the chicken breast into thin, bite-sized strips and pat them thoroughly dry with a paper towel.
In a medium bowl, toss the chicken strips with arrowroot starch, sea salt, and black pepper until evenly coated.
In a small ramekin, whisk together the tamari, honey, grated fresh ginger, and minced garlic to create the stir-fry sauce.
Heat the avocado oil in a large stainless steel skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet in a single layer, searing for 3-4 minutes per side until golden brown and crispy, then remove and set aside.
Wipe the skillet if necessary, add the toasted sesame oil, and toss in the broccoli, sliced bell peppers, and sugar snap peas.
Sauté the vegetables for 3-5 minutes, adding a splash of water if needed to steam-cook the broccoli until tender-crisp.
Return the crispy chicken to the skillet and pour the prepared sauce over the mixture.
Toss everything together for 1-2 minutes until the sauce thickens and glazes the chicken and vegetables beautifully.
Plate the stir-fry immediately and garnish with a sprinkle of toasted sesame seeds.