Bring a large pot of water to a boil.
Cook the pasta according to the package directions until al dente. If using fresh peas, add the peas, carrots and green beans about 2 minutes before the pasta is done. (If using frozen, add 30 seconds before the pasta is done). Reserve 1 cup of the pasta cooking water before draining the pasta and the peas.
In a large heavy bottom dutch oven skillet, add 2 tablespoons of olive oil over medium high heat. Add the pancetta and cook until browned, about 8-10 minutes. Season with pepper and remove from skillet. Use the drippings to quickly sauté the mushrooms and zucchini, remove from skillet and add back in the pancetta to skillet, turn off heat.
Add a few tablespoons of the pasta water to the skillet with the oil and the pancetta and whisk to combine and emulsify the fat with the water. Add the whisked egg to the skillet making sure not to scramble it. Add the pasta, vegetables and scallions into the pancetta and egg mixture. Toss to combine. Add the cheeses and toss to combine again. Add more pasta water as needed to thin. Season with salt, pepper, lemon zest and lemon juice. Serve with plenty of fresh basil on top. Small florets of broccoli can be added along with the peas, if you’d like)