Bring a large pot of water to a boil and season with sea salt before adding the spaghetti to cook until al dente.
While the pasta cooks, sauté the diced pancetta in a large skillet over medium heat until golden and crispy.
In a separate small bowl, whisk together the large egg, egg whites, and grated parmesan cheese until the mixture is smooth.
Add the frozen peas to the boiling pasta water during the final 2 minutes of the spaghetti's cooking time.
Reserve 0.25 cup of the starchy pasta water, then drain the spaghetti and peas thoroughly.
Turn off the heat under the skillet containing the pancetta, then add the drained pasta, peas, and minced garlic to the pan.
Quickly pour the egg and cheese mixture along with the reserved pasta water into the skillet, tossing constantly to create a creamy sauce without scrambling the eggs.
Finish the dish with freshly cracked black pepper and serve immediately while hot and glossy.