Bring a pot of salted water to a boil and cook the chickpea pasta until al dente according to package directions.
While the pasta cooks, sauté the diced pancetta in a large skillet over medium heat until the fat renders and it becomes crispy.
Add the diced chicken breast and minced garlic to the skillet with the pancetta, cooking until the chicken is golden and cooked through.
In a small bowl, whisk together the egg, egg white, grated parmesan cheese, and black pepper until the mixture is smooth and combined.
Reserve 0.25 cup of the starchy pasta water, then drain the pasta and add it directly into the skillet with the chicken and pancetta.
Turn off the heat and stir in the fresh baby spinach, allowing the residual heat to wilt the leaves slightly.
Pour the egg and cheese mixture over the pasta, stirring vigorously and adding the reserved pasta water a tablespoon at a time to create a creamy, emulsified sauce without scrambling the eggs.