One more thing on egg washing ....
I actually do not wash my eggs for a totally different reason ... with the bloom left on them, I think they keep longer ... I use eggs that have not been refrigerated for over a month and they are great. Ones that have been washed and refrigerated dry out faster. I really don't care or think much about bacteria because I am lucky I am healthy. I don't go snoot first in icky stuff, but I can't spend my time triple washing things before I do prep work ... I'm so behind on household anyway .... everything has been compromised by bacteria on it, in the air, hands touching it, we are so surrounded by them ... I like to let my good bacteria do the work for me.
I rotate and keep track - so I always sell the freshest eggs - that leaves me eating the older eggs in order to give the best quality to my customers ... so while I don't do it often, I sometimes am using very very old eggs ....