How high is the lip on that nest? Is she raking out the bedding while arranging the bedding?
Have you checked for nails or screws sticking up that the egg might be hitting? That looks like it is the fat end. That’s the end of the egg that comes out first. Is it normally on the fat end? Is it just one nest?
How thick are those egg shells? Is that just one hen which would make it a hen problem or is it across the flock which makes it a flock problem?
If it is an individual hen problem, some hens just don’t process the calcium right. If the others are laying thick-shelled eggs and you up their overall calcium, you may be hurting the other hens by forcing them to eat more calcium than they need. If it is a flock problem, offer oyster shell on the side and maybe reduce the amount of low- calcium stuff you are feeding them.
That does not look that much like pecking or a claw damaging it when the hen is rearranging the eggs, though that is possible, especially if the shell is thin.
It’s hard to guess with any accuracy when you’re not there looking at it. I’d check the shell thickness to start with, but I think I’d take all that bedding out and look for sharp things that might be puncturing the eggs even if it is a shell thickness problem. Fix that if you find it. Look at raising the lip if that looks like it might be a problem.
As far as the eggs being safe to use. That’s a hard one. That cracked shell gives bacteria an easy way in. The egg material inside is the perfect medium for bacteria to grow. A lot of scientists use eggs to culture bacteria, it’s such a good food for them. If you gather the egg real soon and eat it immediately, it’s probably OK, but I would not do it or feed it to my family. It’s not worth the risk to me. Eggs just aren’t that precious to me.