🛠 Tooling: Fill in remaining common site infrastructure

[JoshuaKGoldberg]

Before You File a Bug Report Please Confirm You Have Done The Following...

• [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

CI, badges, dependabot, gitmoji, prettier, etc -- all those great things being added to https://github.com/LearningTypeScript/projects.

Actual

Most does not yet exist in this repo so far.

Aside: I'll also want to synchronize label colors and descriptions...

Additional Info

Marking this as blocked while the projects repo is worked on.