Prepare the Pancake Batter:

1. Beat the egg white to soft peaks using an electric whisk.
2. In a separate bowl, mix the egg yolk with the flour, baking powder, and sugar.
3. Slowly whisk in the milk to form a smooth paste.
4. Gently fold the whipped egg white into the yolk mixture.

Cook the Pancakes:

1. Heat half the oil in a non-stick pan over medium heat.
2. Spoon in a quarter of the pancake mixture and cook for 2-3 minutes on each side until the edges are set and golden.
3. Repeat to make three more pancakes, keeping them warm in a low oven.

Prepare the Smash Burgers:

1. In the same pan, heat the remaining oil over high heat.
2. Divide the beef mince into two balls.
3. Place one ball in the pan, then use a spatula to smash it down into a thin patty.
4. Cook for 2-3 minutes until browned and crispy, then flip and place a slice of cheese on top. Cook for another 1-2 minutes until the cheese is melted.
5. Repeat with the second ball of mince.

Assemble the Smash Burger Pancakes:

1. Layer a pancake, a cheesy beef patty, some burger sauce, sliced gherkins, and then another pancake.
2. Repeat for the second burger.
3. Serve immediately and enjoy your delicious smash burger pancakes!