Slice the flank steak against the grain into very thin strips and season evenly with sea salt and black pepper.
In a small glass jar, whisk together the coconut aminos, honey, toasted sesame oil, minced garlic, and grated fresh ginger to create the stir-fry sauce.
Heat the avocado oil in a large stainless steel skillet or wok over medium-high heat until it begins to shimmer.
Add the beef strips in a single layer and sear for 2-3 minutes until deeply browned, then transfer the beef to a clean plate.
Add the broccoli florets to the same pan with 2 tablespoons of water, immediately covering with a lid to steam for 2 minutes until bright green and tender-crisp.
Remove the lid, return the beef and any accumulated juices to the pan, and pour the prepared sauce over the mixture.
Toss everything together for 1 minute over high heat until the sauce thickens into a glossy glaze that coats every piece.
Transfer to a plate and garnish with sesame seeds before serving immediately.