[S1] New project type modal reliability

Audit and fix the modal used to create new project types so that creation works reliably end-to-end, without silent failures or inconsistent states.

Why this matters

The project type creation modal is a core setup step for any workspace — if it doesn't work reliably, admins cannot configure the categories their team needs. Reliability issues here block downstream project creation and erode trust in the administrative tooling.

How it works

The full flow — opening the modal, entering a type name and color, saving, closing, and seeing the new type appear everywhere it should — is audited and fixed. Error states are handled with clear messages, and the type becomes immediately available in all places that list project types after creation.