Thinly slice the flank steak against the grain into bite-sized strips and season 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 glaze.
Heat the avocado oil in a large skillet or wok over medium-high heat until shimmering.
Add the steak strips to the pan in a single layer and sear for 2-3 minutes until browned and caramelized, then remove and set aside.
Add the broccoli florets to the same pan with a splash of water, cover, and steam for 2 minutes until bright green and tender-crisp.
Return the beef to the pan and pour the sesame-ginger sauce over the mixture, tossing constantly for 1 minute to coat and thicken.
Garnish with sesame seeds and serve immediately while hot.