1. In a small bowl, mix the soy sauce, brown sugar, cornstarch, and beef broth until smooth. Set aside.
2. Heat a large skillet over medium-high heat and add olive oil. Once hot, add the sliced beef. Season with salt and pepper, and cook until browned, about 3-4 minutes. Remove from the skillet and set aside.
3. In the same skillet, melt the butter over medium heat. Add the minced garlic and sauté until fragrant, about 1 minute.
4. Add the broccoli florets to the skillet and stir-fry for 3-4 minutes until they are bright green and tender-crisp.
5. Return the beef to the skillet. Pour the sauce over the beef and broccoli, stirring until everything is well-coated and the sauce has thickened, about 2-3 minutes more.
6. Serve hot, garnished with your choice of additional soy sauce or sesame seeds for added flavor.

As I often tell my friends, don’t stress if a step doesn’t go perfectly. I’ve had my fair share of burnt garlic moments, and each one taught me something new. Remember, it’s about enjoying the process as much as savoring the final dish.