The garlic Caesar sauce does contain anchovies but it does not contain raw egg.
I read recently that the raw egg that contain salmonella isn't harmful for baby but is for pregnant woman all it does is give you upset stomach or make you feel ill.
I accidentally did this with a chicken wrap and by the time I was finished, I was like oh crap I wasn't suppose to eat ceasar dressing. I made the same mistake with raw hotdogs, My baby is fine, I just haven't done it again!