Slice the flank steak against the grain into thin strips and season evenly with sea salt and black pepper.
In a small glass bowl, whisk together the coconut aminos, sesame oil, honey, grated fresh ginger, and minced garlic to create the glaze.
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 until deeply browned, then remove the beef from the pan and set aside on a plate.
Add the broccoli florets to the same pan with a tablespoon of water, cover immediately, and steam for 3 minutes until they are bright green and tender-crisp.
Return the beef to the pan, pour the sesame-ginger glaze over the mixture, and toss constantly for 1 minute until the sauce thickens and coats the ingredients.
Transfer to a plate and garnish with toasted sesame seeds before serving hot.