Can I copyright images taken by a camera I set up years ago?

I live behind a nature preserve and set up a stationary camera years ago. It takes millions of pictures, trillions of pixels. Each image has a unique illumination condition, with unique cloud patterns, and also the fauna, flora, and landscape evolve over the years. The nature preserve says I own pictures that I take there.

It has been established that machine-generated data is not copyrightable without an element of human expression. Does this restriction limit the number of pixels that I own by copyright? Which pixels do I own?

Now supposing Claude Code picks out a few of those millions of pictures, after I abstractly prompted it. Can I copyright the ones that Claude picked out? What if Claude also put a caption on them?