Feature request: archive/hide completed sessions without deleting them

[gcdevuk]

Problem

Once a session is finished, the only options are to leave it in the session list or delete it entirely. There's no way to move completed sessions out of view while preserving them.

This leads to a cluttered session list when you work across multiple projects daily, but deleting sessions feels too permanent — especially given #576 (delete is destructive and removes ~/.claude/projects/ data).

Claude Desktop solves this with an "Archive" action that hides sessions from the main list while keeping them recoverable.

Requested feature

An archive action on sessions (right-click menu, swipe, or similar) that:

1. Removes the session from the active session list
2. Preserves all session data on disk (no rm -rf)
3. Provides a way to view/restore archived sessions (e.g. an "Archived" filter or separate tab)

Why this matters

• Self-hosted CloudCLI users often run persistent instances with long session histories
• Without archive, the choice is visual clutter vs permanent deletion
• This is a standard UX pattern (email, chat apps, Claude Desktop) that users expect

Alternatives considered

• Delete — too destructive, especially given "Delete Project" destroys Claude Code memory & session data — misleading UX causes permanent data loss #576
• Just scroll past old sessions — doesn't scale; list becomes unwieldy after a few weeks of daily use
• Manual cleanup of ~/.claude/sessions/ — fragile, not user-facing