Bring a large pot of salted water to a boil and cook the chickpea spaghetti according to package directions until al dente.
While the pasta cooks, place the diced pancetta in a cold skillet and turn the heat to medium, sautéing until the fat renders and the meat is golden and crispy.
In a small mixing bowl, whisk together the whole egg, egg whites, and grated parmesan cheese until well combined and smooth.
Before draining the pasta, reserve approximately 0.25 cup of the starchy pasta water.
Drain the pasta and immediately add it to the skillet with the crispy pancetta, tossing in the baby spinach until it just begins to wilt from the residual heat.
Remove the skillet from the heat entirely to prevent the eggs from scrambling, then pour in the egg mixture while tossing the pasta vigorously.
Slowly add the reserved pasta water one tablespoon at a time while continuing to toss until a creamy, glossy sauce forms.
Season with the sea salt and a generous amount of freshly cracked black pepper before serving immediately.