Bring a large pot of salted water to a boil and cook the chickpea pasta according to package directions until al dente.
Before draining the pasta, carefully reserve 0.25 cup of the starchy pasta water.
In a small mixing bowl, whisk together the whole egg, liquid egg whites, grated parmesan cheese, and black pepper until well combined and smooth.
Place a large skillet over medium heat and add the diced pancetta, cooking until the fat has rendered and the pancetta is golden and crispy.
Add the minced garlic to the skillet with the pancetta and sauté for about 30 seconds until fragrant, being careful not to burn it.
Turn off the heat completely and add the drained pasta and fresh baby spinach to the skillet, tossing until the spinach is just wilted.
Slowly pour the egg and cheese mixture over the pasta while stirring rapidly and constantly to create a creamy emulsion without scrambling the eggs.
Gradually add the reserved pasta water one tablespoon at a time, continuing to stir until the sauce reaches a silky, glossy consistency.
Season with sea salt to taste and serve immediately while the sauce is warm and creamy.