Garlic Lemon Egg Pasta (Carbonara?)

This was a combination from recipes such as Lemon Spaghetti by Gianda De Laurentiis,  Baked Lemon Pasta by the Pioneer Woman, and Spaghetti al Limon by Smitten Kitchen. Additionally I looked at carbonara recipes because I wanted to add some protein to the meal and there were only eggs in the fridge. Since I don't really cook with cheese and there was no bacon... it isn't really a carbonara. But for the sake of this meal - carbonara it is!

We added carrots but some broccoli or asparagus or peas would have been a nice addition. Fresh basil or some parsley would have been great too!

Garlic Lemon Egg Pasta (Carbonara!?)
1/2 box of Pasta
2 tbsp Olive Oil
1/2 tbsp Butter
5 cloves of garlic, smashed in the press
a few dashes of Salt and Pepper
1/4 tsp Red Pepper Flakes
Lemon (1/3 cup lemon juice)
Veggies (optional)
3 eggs (3 egg whites, 2 yolks), "beaten in preparation for scrambling"

Cook pasta according to directions. Once the pasta is cooked, drain but reserve about a cup or two of the pasta water.

Meanwhile, heat olive oil in a pan. Add 1/2 tbsp of butter. Once melted add salt, pepper, and a few red pepper flakes. Add the veggies and the lemon juice.  Turn frying pan to low. Pour the eggs in the frying pan and stir until it is combined with the butter and oil mix. This should get thicker and all take on the same consistency as it gets scrambled .

Combine with pasta and add the pasta water a little at a time until the sauce is the consistency you want.