Slice the flank steak against the grain into thin, bite-sized strips.
In a small bowl, whisk together the coconut aminos, honey, toasted sesame oil, grated ginger, and minced garlic.
Heat the avocado oil in a large skillet or wok over medium-high heat until shimmering.
Add the broccoli florets and a splash of water, then cover for 2 minutes to steam-sauté until bright green and tender-crisp.
Remove the broccoli from the pan, increase heat to high, and add the steak strips in a single layer.
Season the beef with sea salt and black pepper, searing for 2 minutes per side until browned and caramelized.
Return the broccoli to the pan and pour the sesame-ginger sauce over the mixture, tossing for 1 minute until the sauce thickens and coats everything.
Garnish with sesame seeds and serve immediately.