Cookwith - The Absurdist Culture Awards Burger (with Bulgogi Beef and Breakfast Hash)

Ingredients

• 1 lb ground beef (80/20 blend for juiciness)
• 2 tbsp brown sugar
• 2 tbsp grated Asian pear (or apple, if preferred)
• 1 tbsp sesame oil (toasted, but NOT soy-based)
• 3 cloves garlic, minced
• 1 tsp freshly ground black pepper
• 1/2 tsp kosher salt, plus more for seasoning
• 4 slices sharp cheddar cheese
• 4 brioche burger buns
• 2 tbsp unsalted butter (for toasting buns)
• 4 large eggs
• 2 tbsp neutral oil (such as canola or grapeseed)
• 2 cups Yukon Gold potatoes, diced small
• 1/2 cup red bell pepper, diced
• 1/4 cup green onions, chopped (green tops only)
• 1/2 cup shredded cabbage (for crunch)
• 1 medium heirloom tomato, sliced
• Romaine lettuce leaves
• Ketchup (to serve)
• Dijon mustard (to serve)