Slice the flank steak against the grain into thin strips and season evenly with sea salt and black pepper.
In a small bowl, whisk together the coconut aminos, toasted sesame oil, minced garlic, and grated fresh ginger to create the stir-fry sauce.
Heat the avocado oil in a large skillet or wok over high heat until it begins to shimmer.
Add the beef strips in a single layer and sear for approximately 2 minutes until browned and caramelized, then remove from the pan and set aside.
Add the broccoli florets and sliced carrots to the same pan with a splash of water, covering with a lid for 2 minutes to steam until tender-crisp.
Return the beef to the pan, pour the prepared sauce over the mixture, and toss for 1 minute until the sauce thickens slightly and coats the ingredients.
Garnish with sesame seeds and serve immediately while hot.