Are there no default instructions in the templates to actual compile code and run unit tests?

[czei]

I'm working on a sample project to see if spec-kit works any better than my own spec-driven workflow, and was surprised to see that actually compiling and executing code wasn't in there. After executing on the plan and tasks Claude just generated dozens of classes, but they had hundreds of compilation errors as the AI never bothered to try compiling them. Forget actually working, the AI code won't even compile. It did create unit tests, but of course those don't compile either.

Interating over new code until it compiles and passes unit tests is baked into my own spec-driven AI workflow, so I am surprised something so basic wouldn't be included here. Is that something I did wrong?