Preheat the oven to 350 degrees. Spray a 9X13 baking dish with nonstick cooking spray.
In a mixing bowl combine soy sauce, sesame oil, ginger, garlic, and gochujang.
Next, in a large skillet preheated to medium-high heat add the ground beef, kosher salt and ground pepper. Cook the beef until it is no longer pink for about 5 minutes. Remove any excess fat.
Next, add in the onion and continue to cook for another few minutes. Stir in the gochujang mixture and continue to cook for another few minutes. Remove from the heat and pour the ground beef mixture into the bottom of the prepared baking dish. Spread into an even layer and then top with 1 cup of cheddar cheese.
In another large mixing bowl combine eggs, tomato paste, cream, kosher salt, and pepper. Pour the mixture over the beef followed by remaining cheddar cheese. Bake for about 35 minutes or until golden and eggs are set.
Remove from the oven and garnish with tomatoes, scallions, shredded lettuce, red onion, and sesame seeds. Enjoy!