Very odd-shaped egg today. Don't know who laid it, it looks worrisome!

One end is formed like a tail. The other end seemed to have a weak shell. It didn't hold up to being moved around and gathered like they do when they lay, or maybe it was stepped on. Looked like there was a yolk and whites in there. There've been a few thin rubbery weak-shelled eggs, then everything is fine for awhile. This is their first laying season, first egg was early January. This is definitely something weird. A bad sign?
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I've also been watching for egg-eating on purpose since I found one or two strong-shelled eggs that looked poked, a hole in an otherwise fine shell, and I caught Popcorn with a yolky beak a couple of weeks ago. She came up to the nestbox to visit while I was inspecting a broken egg and dipped her beak in there to eat some more! I've been trying to gather them as soon as laid, which is near-impossible when the ladies get in there as soon as one leaves. Is it okay to reach under a hen while she is on the nest to gather eggs? I try to leave them their privacy. Today there were two hens, one at each end for a time. I haven't been able to really track who is laying what yet. This doesn't look like what I think Queenie lays, which is a smaller browner egg, so I think it is one of the Buckeyes.
Yes, talking about you, ladies!
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