I do the same with my pan, only I start with the frying of hash browns, which I make from baked potatoes I store in the refrigerator. After the hash browns, in goes the bacon. My pan loves that bacon grease and so do my eggs, after the bacon is cooked to absolute perfection. Yes, my carbon steel does bacon real good. After the bacon, I shut the burner off and fry my eggs, over easy as the pan slowly cools off.
My De Buyer carbon steel 11” fry pan is a total super hero—it does everything well. Sautés veggies, deep fries meatballs, eggs any way you like, browns meat. I don’t even bother with my other pans.