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 large cold skillet and turn the heat to medium, sautéing until the fat renders and the meat becomes crispy.
In a small bowl, whisk together the whole egg, liquid egg whites, grated parmesan cheese, and freshly cracked black pepper until well combined.
Add the minced garlic to the skillet with the pancetta and cook for 30 seconds until fragrant, then turn the heat to the lowest setting.
Reserve 0.25 cup of the pasta cooking water, then drain the spaghetti and add it directly to the skillet with the pancetta.
Remove the skillet from the heat entirely; this is crucial to prevent the eggs from scrambling.
Slowly pour the egg mixture over the pasta while tossing constantly with tongs, adding a splash of the reserved pasta water as needed to create a smooth, creamy emulsion.
Garnish with fresh parsley and serve immediately while the sauce is warm and velvety.