Bring a large pot of salted water to a boil and cook the chickpea spaghetti according to package directions until al dente.
Reserve 0.25 cup of the starchy pasta water before draining the noodles.
In a large skillet over medium heat, sauté the diced pancetta until it begins to crisp and release its oils.
Add the diced chicken breast to the skillet with the pancetta and cook until golden brown and cooked through.
In a small bowl, whisk together the whole egg, egg yolk, and grated parmesan cheese until smooth.
Turn off the heat in the skillet and add the cooked pasta and baby spinach, tossing until the spinach just begins to wilt.
Slowly whisk a tablespoon of the reserved warm pasta water into the egg mixture to temper it, preventing scrambling.
Pour the egg mixture over the pasta and meat, tossing continuously for 1-2 minutes until the sauce becomes thick and creamy.
Season with sea salt and a generous amount of freshly cracked black pepper before serving immediately.