Heat the soup. Add the beef bone broth to a medium saucepan. Add a pinch of salt and stir to combine. Heat over medium heat until gently simmering.
Add extras: dumplings, tofu or rice cakes. *Optional. When the broth comes to a simmer, add the extras: frozen dumplings, tofu or rice cakes. Stir with a spoon so they don't stick to the bottom of the pot as it heats up. Heat until the dumplings are cooked through (or warmed, if they are pre-cooked), the tofu is warmed through, or the rice cakes are soft and squishy.
Make egg mixture. While the beef broth comes to a simmer, make the egg mixture. In a medium bowl, add 1 Tbsp water and the corn starch. Whisk well until there are no clumps. Crack the eggs directly into the bowl and whisk again until well combined.
Add eggs to the broth. To the simmering broth, add the whisked egg mixture in a circular motion so the egg cooks evenly. (Rather than dumping into the center of the pot). The eggs should immediately cook and form a fluffy, cloud-like texture on the surface of the soup. Turn off the heat.
Taste and adjust seasoning. Taste the soup and add more salt, if needed.
Serve. Add green onion and freshly cracked black pepper. Add a drizzle of sesame oil. Divide evenly into two bowls. Serve immediately with rice. Enjoy!