In a mixing bowl, combine the sliced chicken with kosher salt, black pepper, garlic powder, soy sauce, and 1 tablespoon of corn starch. Mix well until the chicken is evenly coated. Let it marinate for at least 15 minutes to enhance the flavor.
While the chicken is marinating, prepare the vegetables. Thinly slice the carrots, chop the snow peas, and slice the mushrooms. Drain the water chestnuts and bamboo shoots, and set aside.
In a large skillet or wok, heat 2 tablespoons of olive oil over medium-high heat. Once hot, add the marinated chicken in a single layer. Cook for about 5-7 minutes, or until the chicken is golden brown and cooked through. Remove the chicken from the skillet and set aside.
In the same skillet, add the remaining 2 tablespoons of olive oil. Add the minced garlic and grated ginger, sautéing for about 30 seconds until fragrant. Then, add the carrots, snow peas, mushrooms, bamboo shoots, and water chestnuts. Stir-fry the vegetables for 3-4 minutes until they are tender yet still crisp.
In a small bowl, whisk together the low-sodium chicken broth, 2 tablespoons of corn starch, brown sugar, and sesame oil. Pour this mixture into the skillet with the vegetables and bring to a simmer, allowing the sauce to thicken slightly.
Return the cooked chicken to the skillet, tossing everything together to ensure the chicken and vegetables are well coated in the sauce. Cook for an additional 2 minutes to heat everything through. Serve hot, garnished with chopped green onions and sesame seeds.