Cookwith - The Culture Award Smash Breakfast Burger (with Filet Mignon Flair)

Ingredients

• 1/2 lb ground beef (80/20 blend, for smash patties)
• 1/2 lb filet mignon (cut into 1/2-inch cubes)
• 4 English muffins, split and toasted
• 4 large eggs
• 4 slices sharp cheddar cheese
• 4 tbsp unsalted butter, divided
• 1/2 small red onion, thinly sliced
• 1 ripe tomato, sliced
• 1 cup arugula
• 2 tbsp mayonnaise
• 1 tbsp Dijon mustard
• 1 tbsp ketchup
• 2 tsp Worcestershire sauce
• Kosher salt and freshly ground black pepper
• 1 tbsp neutral oil (canola or grapeseed)