zzzzshawn/matrix ? reverse-engineered prompt

Build me a small Next.js site for a dotmatrix style loader library.

I want a clean docs app where people can browse a set of reusable loading animations, preview them, and easily grab the code. The main way to use it should be through a shadcn style registry install, but I also want a simple docs based copy and paste option for anyone who just wants the source.

Make the loaders live in their own components area, with the site routes and documentation in the app. Include a generated registry output so the components can be published and installed easily, plus a public folder for the registry files. Add the basic scripts for running the docs site, building the registry, running tests, and checking types.

Keep the design simple and focused on the loader previews. If anything is unclear, look up the current docs online and make sensible choices.