Avoid undocumented `pypa/wheel` API in `dist_info`

[abravalheri]

Summary of changes

Avoid pypa/wheel API in dist_info

• Instead of using bdist_wheel to convert egg-info directory into dist-info, just do the conversion directly. This relies on the fact that PKG-INFO and METADATA files are compatible after the last PRs.

This is done because there is an understanding that pypa/wheel is not meant to be used public yet and will change in the future.

---

This is part of a series of PRs:

• #3903
• #3904
• #3905
• #3906
• #3907
• #3908

The motivation for this series of PRs is the following:

• Logic for generating .egg-info and .dist-info directories is intertwined and implicit (See #1386).
• Setuptools uses pypa/wheel API which is not stable yet and is very likely to change in the future.
• pypa/wheel maintainers previously described that the long term vision is to transfer bdist_wheel directly to setuptools (See pypa/wheel#262, pypa/wheel#472, pypa/wheel#472).

---

Pull Request Checklist

• [ ] Changes have tests
• [ ] News fragment added in changelog.d/. (See documentation for details)