🛠 Tooling: Add strict linting

[JoshuaKGoldberg]

Tooling Report Checklist

• [X] I have pulled the latest main branch of the repository.
• [X] I have searched for related issues and found none that matched my request.
• [X] This is the appropriate issue form for the tooling issue I would like to report.

Expected

ESLint isn't set up yet! 😱

Actual

At least the @typescript-eslint/strict, simple-import-sort, and react plugins should be enabled.

Additional Info

No response