Bring a large pot of water to a boil, add the sea salt, and cook the chickpea spaghetti according to package directions until al dente.
While the pasta cooks, heat a large skillet over medium heat and sauté the diced pancetta until it becomes golden and crispy.
Add the minced garlic to the skillet with the pancetta and cook for 1 minute until fragrant, then remove the skillet from the heat.
In a small bowl, whisk together the whole egg, egg whites, grated parmesan cheese, and black pepper until the mixture is uniform.
Reserve 0.25 cup of the pasta cooking water, then drain the spaghetti and add it directly to the skillet with the pancetta.
Quickly pour the egg and cheese mixture over the hot pasta, tossing constantly with tongs to create a creamy, emulsified sauce using the residual heat.
Add a splash of the reserved pasta water if needed to reach a silky consistency and serve immediately.