Step 1: Cook the Pasta

1. Bring a large pot of salted water to a boil.
2. Cook the spaghetti until al dente according to package instructions.
3. Reserve ½ cup of pasta water, then drain the pasta and set aside.

Step 2: Prepare the Egg Mixture

1. In a bowl, whisk together the eggs, egg yolk, and Parmesan cheese until smooth.
2. Set aside for later use.

Step 3: Cook the Chicken and Pancetta

1. Heat olive oil in a large skillet over medium heat.
2. Add the chicken pieces, season with salt and black pepper, and cook until golden and fully cooked (about 5-6 minutes). Remove and set aside.
3. In the same skillet, add the pancetta (or bacon) and cook until crispy (about 3-4 minutes).
4. Stir in the minced garlic and red pepper flakes, cooking for an additional 30 seconds.

Step 4: Combine the Ingredients

1. Return the cooked chicken to the skillet and reduce the heat to low.
2. Add the drained pasta and toss to combine.
3. Remove the pan from heat and slowly pour in the egg mixture, stirring continuously to coat the pasta.
4. Add reserved pasta water gradually until the sauce reaches a creamy consistency.

Step 5: Serve and Enjoy

1. Taste and adjust seasoning with additional salt and black pepper if needed.
2. Garnish with fresh parsley and extra Parmesan cheese.
3. Serve immediately while warm.