🐛 Bug: Transition mode is moving an existing All Contributors badge outside of badges

[JoshuaKGoldberg]

Bug Report Checklist

• I have tried restarting my IDE and the issue persists.
• I have pulled the latest main branch of the repository.
• I have searched for related issues and found none that matched my issue.

Expected

Running npx create-typescript-app in a repository templated from an older version of the tooling should migrate all README.md badges over to the new template.

Actual

JoshuaKGoldberg/cached-factory#21 -> https://github.com/JoshuaKGoldberg/cached-factory/blob/71fac31de038ab6208f779afe5abe7bc34518f69/README.md?plain=1#L21 shows:

</p>

<img align="right" alt="All Contributors: 1" src="<https://img.shields.io/badge/all_contributors-1-21bb42.svg>" ">

## Usage

That's an odd image and definitely a bug.

Additional Info

The image on main is: https://github.com/JoshuaKGoldberg/cached-factory/blob/30ce74b3761cd0f9f5c7612b5a9ef9aaaf26e687/README.md?plain=1#L9C1-L9C99

<!-- ALL-CONTRIBUTORS-BADGE:START - Do not remove or modify this section -->
<img alt="All Contributors: 1" src="https://img.shields.io/badge/all_contributors-1-21bb42.svg" />
<!-- ALL-CONTRIBUTORS-BADGE:END -->

🎁

[github-actions]

🎉 This is included in version v2.12.1 🎉

The release is available on:

• GitHub releases
• npm package (@latest dist-tag)

Cheers! 📦🚀