Add stable tag process to release process documentation (#2224)

* Add stable tag process to release process documentation
- Add reasoning + step commands

* Bah - I ran the linter but forgot to commit

* Update docs/contributing/release_process.md

Co-authored-by: Richard Si <63936253+ichard26@users.noreply.github.com>

Co-authored-by: Richard Si <63936253+ichard26@users.noreply.github.com>