> if demand is unchanged and overall supply goes down, prices go up.

How much did supply go down considering that Cal-Maine Foods, Inc is (or at least was) the single largest supplier of eggs in the country? Ultimately their profits increased 718% (https://www.cnn.com/2023/03/29/business/egg-profits-cal-main...) which seems unlikely to be explained away by reduced supply. They were price gouging and fixing prices with the other large suppliers to prevent consumers from just switching to those brands while small egg producers may have had issues with avian flu keeping their fairly priced products off the shelves.