Clay is pretty great in that you can use every tiny little offcut or scrap.
If it dries out you just wet it again.
As I work I put all the my scraps in a sealed container that I spray a little water into. And then I combine those scraps as I work and reuse them.
I haven’t reclaimed any clay for about two years since I started using all my scraps.
Reclaiming is a bit of a pain and I’m lazy.
We do get a lot of failures in ceramics so throwing away work is a part of it. Once it’s fired you can’t reclaim it. Lots of potters have a shard pile or hole in their yard they throw broken work into. Supporting future archaeological digs