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