🐛 Bug: Initialization should remove project logo line from README.md

[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

After creating a repository from the template on GitHub, running pnpm i, and then running pnpm initialize, the README.md shouldn't have a logo asset. Such a thing wouldn't exist in a new repository.

Actual

https://github.com/JoshuaKGoldberg/github-notifications-prune/blob/1abae2faee97872dc7b53362d3918f0412d6e8b1/README.md#L18:

<img align="right" alt="Project logo: the TypeScript blue square with rounded corners, but a plus sign instead of 'TS'" src="./docs/github-notifications-prune.png">

Additional Info

No response