Remote control: allow approving tool calls and sending messages from viewer session

Feature request

When viewing a Claude Code session via remote control, the viewer should be able to:

1. Approve or deny tool calls — currently the person who started the session must be at their machine to approve. If you're away from your desk and monitoring via remote control on your phone, you can't unblock a waiting tool call.

1. Send messages — allow the remote viewer to type and submit messages into the session, not just observe.

Motivation

Remote control is currently view-only. The main use case where it falls short is when Claude is waiting for human input (tool approval, a clarifying question) and the user is away from their machine. Being able to respond from the Claude mobile or web app would make remote control genuinely useful for async/mobile workflows.

Related

See also #53142 — request to show a QR code automatically when a remote control session link is generated.

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