You only need to put them in the fridge once theyve been washed because washing eggs removes the protective coating on the exterior of the eggshell.
Hope youre enjoying your roo! I love my boy he takes good care of my girls
edit: you should prob also refrigerate older eggs, too (once theyre not fresh anymore). There is a bit of a disagreement as to when an egg is no longer "fresh" but some say anywhere from 1-3 weeks. Wanted to add that in there lol!
There is a float test you can do to determine the freshness of eggs, which is supposed to be effective too
"Whether you think you can, or you think you can't; you're right"