Bring a large pot of salted water to a boil and cook the chickpea spaghetti until al dente.
While the pasta cooks, dice the pancetta and sauté in a large skillet over medium heat until crispy and golden.
Mince the garlic and add it to the skillet with the pancetta, cooking for 1 minute until fragrant.
In a small bowl, whisk together the whole egg, egg whites, and grated parmesan cheese until well combined.
Reserve 0.25 cup of the pasta cooking water, then drain the spaghetti.
Turn off the heat under the skillet and add the hot pasta, tossing to coat with the pancetta and garlic.
Quickly pour the egg and cheese mixture over the pasta, whisking constantly to create a creamy sauce without scrambling the eggs.
Gradually add the reserved pasta water as needed to reach a smooth, velvety consistency.
Season with sea salt and plenty of freshly cracked black pepper before serving immediately.