01 - Bring a large pot of generously salted water to a rolling boil. Cook the pasta until it reaches the al dente stage, following the package instructions closely. Reserve approximately 120 milliliters of the starchy pasta water before draining the pasta thoroughly.
02 - In a separate mixing bowl, thoroughly whisk together the large eggs, grated Parmesan cheese, heavy cream (if opting for extra creaminess), and freshly ground black pepper. Set this mixture aside.
03 - In a large skillet set over medium heat, melt the unsalted butter. Introduce the diced pancetta or bacon and cook, stirring occasionally, until it achieves a crispy texture, approximately 4 to 5 minutes. Add the minced garlic and sauté for an additional 30 seconds until fragrant.
04 - Add the finely chopped kimchi and kimchi brine to the skillet. Sauté for 2 to 3 minutes, allowing the kimchi to soften and its flavors to meld with the other ingredients.
05 - Add the drained pasta directly to the skillet containing the kimchi mixture. Toss thoroughly to ensure the pasta is evenly coated. Remove the skillet from the heat and allow it to cool for approximately 1 minute to prevent the egg mixture from scrambling.
06 - Pour the prepared egg and cheese mixture over the pasta in the skillet. Toss vigorously and continuously to coat the pasta strands and create a creamy, emulsified sauce. Incorporate the reserved pasta water, a little at a time, until the desired sauce consistency is achieved.
07 - Drizzle the toasted sesame oil evenly over the pasta. Toss gently to distribute the nutty aroma throughout the dish.
08 - Serve the Korean Kimchi Carbonara immediately. Garnish generously with toasted sesame seeds and thinly sliced spring onions.