[skip ci] Small `docs/release.rst` update, mainly to remove `git push --tags`. (#5748)

* [skip ci] Small docs/release.rst update, mainly to warn about `git push --tags`.

* Remove mention of `git push --tags`

Co-authored-by: Henry Schreiner <HenrySchreinerIII@gmail.com>

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Co-authored-by: Henry Schreiner <HenrySchreinerIII@gmail.com>
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