Feature Request: @ file picker in SSH remote sessions should support folder navigation (like local sessions)

What feature would you like to see?

In a local desktop session, typing @ in the prompt composer opens a folder navigator — directories are shown and you can drill into them to find files.

In an SSH remote session connected to the same repo, typing @ instead shows a flat fuzzy filename list (no directories to drill into). You can still find any file by typing part of its name, but you cannot browse the directory tree the way you can locally.

I'd like the SSH @ picker to support the same folder-navigation UX as local sessions, so file-mention is consistent across session types.

How would this feature be used?

1. Connect to a remote host via the desktop app's built-in SSH connection feature.
2. Open a project that has subdirectories and type @ on an empty line.

• Today: a flat list of files appears (no folders).

1. Open the same repo locally (non-SSH) and type @.

• Today: a folder navigator appears (directories you can drill into).

Expected: both session types offer the same folder-navigation experience.

Additional context

• Differences observed for the same repo, only the session type changes.
• Subdirectory files are reachable over SSH by typing a filename fragment (e.g. @somefile), so nothing is "missing" — the gap is purely the folder-browsing UX. @some/path/ shows nothing because it is a name search, not a path navigator.
• The repo is small (a few thousand tracked files), so this is not index truncation — it is a UX difference between the two pickers.
• The / slash-command / skills menu works correctly in SSH; only @ differs.

Environment

• Desktop app: 1.13576.4 (macOS, com.anthropic.claudefordesktop)
• Remote bundled CLI: ccd-cli 2.1.177
• Both confirmed current (auto-updated same day); not fixable via update or any known setting.
• Connection: built-in SSH feature, macOS host → macOS remote.

_Screenshots of the local (folder navigator) vs SSH (flat list) pickers can be added in a comment._