Begin by preheating and cooking fries according to the package instructions.
In the meantime, make your aioli. In a mason jar or narrow deep cup, add in all your ingredients: egg yolks, minced garlic, dijon, lemon juice, olive oil, neutral oil, and pepper. Take your immersion blender and put the blade all the way at the bottom.
Start on low speed and keep the blade on the bottom. Allow it to get creamy this way and emulsify. Once you see the oils mixing in with the egg yolk from the bottom, slowly start pulsing and bringing the blender up and down until a creamy aioli is formed. Store in the fridge until ready to use.
Alternatively, if you are making your aioli by hand, in a bowl, add your egg yolk, garlic, dijon, and lemon juice and whisk until creamy and mixed throughout. Slowly, start streaming in your oil and mix well with a whisk until a thick aioli forms, keep whisking until all your oil is finished up and the mixture becomes thick and creamy. Set aside.
In a bowl, toss parsley, rosemary, oregano, olive oil, garlic, and salt and pepper. Toss your cooked fries with this mixture until fully coated. Finish with a fresh squeeze of lemon juice and fresh shredded parmesan.