shubhams01/dagify ? reverse-engineered prompt

Build me a simple TypeScript project called Dagify that helps create and work with directed acyclic graphs.

I want it to feel easy to use, with a clean demo app so I can see it working right away, plus shared code where it makes sense. It should let someone define nodes and connections, validate that the graph stays acyclic, and show the result in a way that is easy to understand. If there are example flows or sample data, include those too so I can test it quickly.

Please keep the setup practical and modern, and make sure it runs smoothly from the repo root. If you need to check current docs or best practices for anything, look them up online.