Chill the food processor and blade in the freezer for at least 30 minutes prior to blending the pesto for best results. Prep the potatoes and green beans during this time.
Place the basil, garlic, pine nuts, Parmesan, Romano, salt, and half of the olive oil into the food processor and begin blending. Slowly pour the remaining olive oil into the food processor as it is running to get the pesto to a smooth consistency. Place the bowl of the food processor with the blade still in place in the fridge while making the pasta.
Bring a large pot of water to a rolling simmer. Add the sea salt to the water. Once boiling, add the potatoes and cook for 5-6 minutes or until just beginning to lose their firmness.
Add the green beans to the pot with the potatoes and continue to simmer for another 3-4 minutes or until the green beans are tender but retain some of their snap.
Remove the cooked green beans and potatoes from water with a sieve and set aside.
In the same water, add the pasta and cook according to the instructions on the box for al dente pasta. About halfway through, use a measuring cup to reserve about 1 cup of the water.
Remove the food processor from the fridge and reattach it to the base. Pour the reserved pasta water into the food processor while blending on low speed. Blend until the pesto is smooth.
Drain the pasta and return it to the pot along with the potatoes and green beans. Reduce the temperature to medium-low. Pour the pesto sauce over the pasta and gently toss to coat everything in the pesto evenly.
Serve right away - and eat with your hands if you're a sea monster. Enjoy!