Korean Street Toast

Ingredients

• 1 cup thinly sliced green cabbage
• 0.33 cups julienned carrot
• 1 stalk green onion , thinly sliced
• 0.5 teaspoons kosher salt , or to taste
• 0.25 teaspoons ground black pepper
• 1 pinch cayenne pepper
• 2 large eggs
• 3 tablespoons salted butter , divided
• 2 thicks slices white bread
• 0.5 teaspoons white sugar , or to taste
• 2 thins slices smoked ham
• 1 slice mild Cheddar cheese
• 1 tablespoon ketchup , or to taste
• 1 tablespoon mayonnaise , or to taste

Instructions

1. 1

   Mix cabbage, carrot, green onion, salt, pepper, and cayenne with your hands in a bowl until soft, about 30 seconds. Mix in eggs with a fork until thoroughly combined.

2. 2

   Melt 2 tablespoons butter in a nonstick skillet over medium heat. Add bread slices and flip a few times to make sure both sides are coated with butter. Grill bread until beautifully toasted, golden brown, and a little crispy on both sides. Transfer to a plate.

3. 3

   Melt remaining 1 tablespoon butter in the same skillet over medium heat. Add cabbage mixture; cook and simultaneously mix by using the edge of a spatula to chop down on the surface while pushing the edges up and over the top. As the mixture starts to hold its shape, form it into a rectangle that's about twice as long as it is wide. Split the rectangle in half into two square patties; continue to cook until golden brown, 1 1/2 to 2 minutes per side.

4. 4

   Stack patties on top of one another onto one slice of toast and sprinkle with sugar.

5. 5

   Place ham slices into the hot skillet; cook over medium heat until sizzling, 1 to 2 minutes. Flip and top with Cheddar slice; cook until melted, about 1 minute.

6. 6

   Place ham and cheese on top of patties; top with ketchup, mayonnaise, and remaining slice of toast. Cut in half and serve.