Slice the flank steak against the grain into very thin strips and season with sea salt and black pepper.
In a small bowl, whisk together the coconut aminos, toasted sesame oil, minced ginger, minced garlic, and honey to create the stir-fry sauce.
Heat the avocado oil in a large 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 without moving them to develop a deep brown crust, then flip and cook for 1 more minute before removing from the pan.
Add the broccoli florets to the same pan with a splash of water, immediately covering with a lid to steam for 2 minutes until bright green and tender-crisp.
Remove the lid, return the beef to the pan, and pour the prepared sauce over the mixture.
Toss everything together for 1 minute until the sauce thickens slightly and coats the beef and broccoli evenly.
Plate the stir-fry and garnish with sesame seeds before serving.