Remote Control: no way to archive/clean up disconnected sessions on claude.ai

## Feature request

Provide a way to archive or clean up disconnected Remote Control sessions on claude.ai — either automatically after N hours offline, or programmatically from the machine side.

## Use case

We run a long-lived "dispatcher" Claude Code session on a Windows machine with `--remote-control ""`, so it is always reachable from the mobile app. A supervisor process replaces it periodically with a fresh instance (context hygiene). Each replacement creates a **new thread** in the claude.ai mobile app, and the old ones stay in the session list indefinitely as offline entries — the docs confirm this is by design ("Claude Code doesn't archive them"). After a few days the list is full of dead "Dispatcher" threads that can only be removed by hand on the phone.

## What we checked

- There is no CLI flag, subcommand, API endpoint, or settings option to archive/delete a Remote Control thread from the machine when the session ends (per the remote-control docs).
- Workaround that works (measured on v2.1.235): `claude --resume --remote-control ""` reattaches to the **same** bridge session, so the phone keeps a single thread. This is great, but it is not always applicable — sometimes a genuinely fresh conversation is needed, and the old thread still lingers.

## Suggestion

Either of these would solve it:

1. **Auto-archive**: archive Remote Control sessions on claude.ai after they have been disconnected for N hours (possibly configurable).
2. **Programmatic cleanup**: a CLI/API affordance such as `claude remote-control --archive `, or a setting like `remoteControlArchiveOnExit: true` that archives the thread when the local process exits cleanly.

## Environment

- Claude Code v2.1.235 (native install), Windows 11 Pro
- Remote Control used daily from the claude.ai mobile app

🤖 Generated with [Claude Code](https://claude.com/claude-code)

https://claude.ai/code/session_01ScbiFZmUh7bSH2DRgsw4wN

Start with the remote-control documentation and the lifecycle behind `claude --resume --remote-control ""`; identify where disconnected sessions and clean exits are handled. Determine whether cleanup belongs in the CLI, an API, or claude.ai, and consider the work complete when a supported automatic or programmatic archive path removes obsolete sessions without affecting active ones.

索引モデルが issue の本文から書いたものです。