automated docs review

**Is your feature request related to a problem? Please describe.**

It would be great if there was a CI job that could read the docs, run the examples, and make sure everything was still correct as we merge new PRs. As time passes and features get added/removed, docs (especially those that are example-oriented) can drift away from usefulness.

**Describe the solution you'd like**

There are a lot of possible solutions to this problem. We could use a simple parser to extract the rust examples and run them, but that could get convoluted quickly. We could also use AI. I don't know which is the best yet, but I'm just writing this quickly so a discussion can start.

The goal (first & foremost) ensure accuracy of code examples in docs.

If we can add AI code reviews and recommendations related to the PR (i.e. to remind the PR's dev to update the docs) that would be an excellent addition.