[FEATURE] Cowork: Project display names instead of raw folder paths

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

Cowork projects are currently identified in the UI solely by their raw folder path (e.g., C:\Users\mike\(0) TRP\(a) TRO). When working with multiple projects, the sidebar and project switcher become a wall of filesystem paths that are hard to scan and visually undifferentiated.

The folder path is a technical binding — it tells Cowork where files live. But it carries no semantic meaning about what the project is. Users who maintain structured project hierarchies (nested folders, coded prefixes) are penalized most, because their paths are longest and least readable.

Proposed Solution

Add a display name field to project settings (either in the Cowork UI or in .claude/settings.json). The display name would appear in the sidebar, project switcher, Dispatch headers, and any other UI surface that currently shows the folder path.

• The folder path remains the technical binding (unchanged).
• The display name is the human-facing label.
• If no display name is set, fall back to the current behavior (show the path).

This is a low-lift change with high quality-of-life impact, and it lays groundwork for first-class project identity — which matters as Cowork matures toward multi-project workflows.

Alternative Solutions

The only current workaround is to rename the actual folders on disk to be more readable, which breaks any external references, version control paths, or organizational schemes the user already has in place. That is not a viable alternative — the filesystem structure should not be dictated by a UI limitation.

Priority

High - Significant impact on productivity

Feature Category

Interactive mode (TUI)

Use Case Example

I maintain a multi-project writing system with nested folders:

C:\Users\mike\(0) TRP\                    → "The Republic Project"
C:\Users\mike\(0) TRP\(a) TRO\            → "The Resilient Objectivist"
C:\Users\mike\(0) TRP\(b) TCIPE\          → "The Constitution in Plain English"

In the Cowork sidebar, these appear as raw paths. With display names, I would see clean project labels — immediately scannable, immediately meaningful. The folder path still governs file access; the display name governs the human experience.

Additional Context

_No response_