Codex Desktop: add project icons and show them next to pinned thread names

What variant of Codex are you using?

App

What feature would you like to see?

Please add support for project icons in Codex Desktop, and use those icons consistently in places where project context matters.

Suggested behavior:

• Allow each project/workspace to have an icon.
• Show the project icon next to the project name in the sidebar.
• Show the project icon before thread names in the pinned section, so pinned threads from different projects are easier to distinguish.
• Fall back to the default project/folder icon when no custom icon is set.

Why this matters

Codex projects are mostly identified by text today. When working across several projects, especially with similar names or many pinned threads, it is easy to lose track of which workspace a thread belongs to.

Project icons would provide a fast visual cue and reduce the chance of opening or prompting in the wrong project. This is especially useful in the pinned section, where threads from multiple projects can appear together without enough project context.

Related issues

• #19367 requested custom per-project icons in the sidebar and active project header, but did not mention showing them in the pinned section. Issue is closed.
• #20816 requests project-level pinned conversations, which is related to pinned-thread organization.

Additional information

_No response_