Bring a large pot of salted water to a boil and cook the chickpea spaghetti until al dente, about 7-8 minutes.
While the pasta cooks, finely dice the pancetta and mince the garlic clove.
In a small skillet over medium heat, sauté the pancetta until the fat renders and it becomes golden and crispy.
Add the minced garlic to the skillet for the last 60 seconds of cooking, then remove from heat to prevent burning.
In a medium bowl, whisk together the whole eggs, liquid egg whites, Pecorino Romano, and black pepper until well combined.
Reserve 0.25 cup of the hot pasta cooking water, then drain the spaghetti.
Working quickly, add the hot pasta to the skillet with the pancetta and garlic, tossing to coat.
Slowly whisk the reserved pasta water into the egg mixture to temper it, then pour the mixture over the pasta.
Toss continuously over very low heat for 1-2 minutes until the sauce thickens into a silky coating; do not scramble the eggs.
Garnish with fresh chopped parsley and an extra crack of black pepper before serving.