Ingredients

• 2 (4 ounce) patties ground beef
• 1 pinch salt and freshly ground black pepper to taste
• 1 pinch cayenne pepper

For the Gravy:

• 1 ½ cups beef stock
• 4 teaspoons soy sauce
• 1 teaspoon Worcestershire sauce
• 2 drops sesame oil, or to taste
• 2 teaspoons ketchup
• 2 teaspoons white sugar (Optional)
• 4 teaspoons cornstarch
• 2 teaspoons unsalted butter, divided
• 2 tablespoons minced green onions, white and light green parts only
• 2 eggs
• 2 cups hot cooked white rice

Directions

1. Season patties with salt, pepper, and cayenne.
2. Whisk beef stock, soy sauce, Worcestershire sauce, sesame oil, ketchup, sugar, and cornstarch together in a bowl.
3. Melt butter in a skillet over medium-high heat. Cook patty in the hot skillet until a browned crust forms on the bottom, about 5 minutes. Flip; toss in green onions and cook the other side until both beef and onions are browned, 4 to 5 minutes more. Remove patty and most of the green onions to a plate.
4. Pour beef stock mixture into the skillet. Stir, scraping up browned bits from the bottom, until thickened, about 2 minutes. Reduce heat to low and reserve gravy until needed.
5. Melt remaining butter in another skillet over medium heat. Add eggs to the skillet and fry side-by-side until whites are set and yolks are still runny.
6. Divide rice between 2 serving bowls. Place patties over the rice, spoon gravy on top, and add the fried eggs.