In a bowl, mix the marinade ingredients. Place the steak in a large resealable bag or shallow dish, pour the marinade over, and refrigerate for at least 30 minutes or up to 2 hours.
In a separate bowl, whisk together the sauce ingredients until well combined.
Heat a large wok or skillet over high heat until. Add the oil to the wok.
Remove the steak from the marinade and pat it dry. Stir-fry the steak in batches until browned and just cooked through, then transfer it to a plate.
Add the prepared vegetables to the hot pan and stir-fry until they’re crisp-tender, about 3–4 minutes.
Return the steak to the pan, pour in the stir-fry sauce, and toss everything together. Cook for an additional 2–3 minutes until the sauce thickens slightly and evenly coats the steak and vegetables.
Remove from heat and serve hot over rice or noodles, if desired.