To make the sauce

1. In a medium bowl, stir together all sauce ingredients until well combined. If desired, substitute 2 tablespoons plus 1 teaspoon regular soy sauce for the light and dark soy sauce (this may result in a finished dish that's a bit lighter in color than what's pictured here).

To make the beef and eggs

1. In a large nonstick or carbon steel pan over medium, heat the oil. Add ground beef and use a spatula to spread it across the bottom of the pan. Let cook undisturbed until bottom has browned.
2. Use a spatula to break up the beef into smaller pieces. Add minced onion and ginger and cook, stirring occasionally, until onions are tender with lightly browned edges, about 5 minutes.
3. Pour sauce into pan and stir to combine with beef, ginger, and onion. Cover pan and simmer for 10 minutes, until sauce has reduced slightly, but still covers the beef. If sauce has reduced too much, gradually stir in more broth.
4. In a small bowl, whisk together cornstarch and 2 tablespoons of water. Add frozen peas to beef, stir cornstarch slurry once more to ensure that it is completely dissolved, then pour slurry into pan, stirring well.
5. Crack eggs into pan on top of the beef and sauce. Cover pan immediately and let steam, still on medium heat, until egg whites are set and yolks are still runny, about 2-3 minutes. Avoid letting the sauce come to a full boil by reducing the heat or removing pan from heat for a few seconds.
6. Once eggs are cooked to your liking, uncover pan and remove it from the stove. Drizzle sesame oil over top if desired, then divide steamed rice among 4 bowls and use a spatula or ladle to transfer the beef, sauce, and eggs into each bowl. Serve immediately.