To marinate the steak, slice the steak thinly against the grain. Toss with arrowroot starch, salt and pepper, and coconut sugar. Add the coconut aminos and set aside.
To prep the sauce, combine the ingredients in a small bowl or measuring cup and set aside.
Using a large pan or wok, heat 1 tbsp of oil over medium heat. Add the broccoli and lightly season with salt and pepper. Saute until lightly crisp. Reduce the heat and add 2-3 tbsp of water. Cover and allow to steam for 4-5 minutes or until the broccoli is tender. Set aside.
Add another tbsp of oil to the pan over medium heat. Once the oil is shimmering, add steak in a single layer, working in batches if needed to avoid overcrowding the pan. Cook for 2 minutes on each side or until crisp. Set aside.
Add the cold rice to the pan, and saute for 3-4 minutes or until lightly crispy.
Reduce the heat. Add the cooked steak, broccoli, and sauce to the pan with the rice. Toss to allow the sauce to thicken and coat the rice, beef and vegetables.