In a small bowl, whisk together the tamari, honey, arrowroot powder, and toasted sesame oil until smooth to create the glaze.
Season the thinly sliced flank steak evenly with the sea salt and black pepper.
Heat the avocado oil in a large skillet or wok over medium-high heat until it begins to shimmer.
Add the beef to the skillet in a single layer and sear for 2 minutes until browned, then remove the beef and set it aside on a plate.
Add the broccoli florets to the same pan with a splash of water, covering with a lid for 2 minutes to steam until they are tender-crisp.
Remove the lid and stir in the minced garlic and ginger, sautéing for 30 seconds until the aromatics are fragrant.
Return the beef and any accumulated juices to the pan and pour the sauce mixture over the ingredients.
Toss everything constantly for 1 minute until the glaze thickens and coats the beef and broccoli beautifully.
Transfer to a plate and garnish with sesame seeds before serving immediately.