Cookwith - Culture Awards Breakfast Burger with Gochujang Aioli

Ingredients

• 1 lb ground beef (80/20 blend)
• 4 large eggs
• 4 slices sharp cheddar cheese
• 4 brioche buns
• 1 cup baby arugula
• 1 small heirloom tomato, sliced
• 1 small red onion, thinly sliced
• 4 tbsp mayonnaise
• 2 tsp gochujang (Korean chili paste)
• 1 tsp rice vinegar
• 1 tbsp unsalted butter
• Kosher salt, to taste
• Freshly ground black pepper, to taste
• 1 tbsp canola oil