Bring a large pot of water to a boil, add the sea salt, and cook the chickpea spaghetti until al dente according to package directions.
Reserve 0.25 cup of the hot pasta water before draining the spaghetti.
While the pasta cooks, place the diced pancetta in a large skillet over medium heat and sauté until the fat has rendered and the meat is golden and crispy.
In a small bowl, whisk together the whole egg, egg whites, grated parmesan cheese, and black pepper until well combined.
Add the baby spinach to the skillet with the pancetta and stir for 30 seconds until just beginning to wilt.
Turn off the heat entirely. Add the hot, drained pasta to the skillet and toss with the pancetta and spinach.
Slowly pour the egg mixture over the pasta while stirring constantly and vigorously; the residual heat will cook the eggs into a creamy sauce without scrambling them.
Add the reserved pasta water one tablespoon at a time if needed to reach your desired silky consistency and serve immediately.