[clang-tools-extra] [clang-tidy] Add bugprone-move-shared-pointer-contents check. (PR #67467)

[Vlad Serebrennikov via cfe-commits]

Endilll wrote:

I cleaned up the reviewers. I suggest to use `git merge` next time you need to bring your PR up to date with `main`. We are not worried about merge commits, as squash is the only available merge option for PRs.

I also suggest to use "Start review" button when you respond to multiple comments, as that reduces amount of e-mail notifications.

https://github.com/llvm/llvm-project/pull/67467