This stabilizes the `Path::try_exists()` method which returns
`Result<bool, io::Error>` instead of `bool` allowing handling of errors
unrelated to the file not existing. (e.g permission errors)

Along with the stabilization it also:

* Warns that the `exists()` method is error-prone and suggests to use
  the newly stabilized one.
* Suggests it instead of `metadata()` to handle errors.
* Mentions TOCTOU bugs to avoid false assumption that `try_exists()` is
  completely safe fixed version of `exists()`.
* Renames the feature of still-unstable `std::fs::try_exists()` to
  `fs_try_exists` to avoid name conflict.

The tracking issue #83186 remains open to track `fs_try_exists`.