In a small bowl, whisk together the tamari, garlic, ginger, and lime juice. Set the sauce aside.
Heat the coconut oil in a large nonstick skillet with a lid over medium heat.
Add the spiralized sweet potatoes and sauté for 6–8 minutes, or until just tender. If the noodles begin sticking, add a small splash of water. Transfer the noodles to a plate and set aside.
Add the broccoli, onion, and water to the same skillet. Cover and steam for 4–5 minutes, or until the broccoli is tender. Transfer the vegetables to a plate and set aside.
Add the ground beef to the skillet. Cook, breaking it into small pieces, until it is browned and no longer pink. Drain any excess fat if needed.