[FEATURE] Support Dispatch from a second desktop client (not just mobile)

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

Dispatch currently requires a mobile device as the remote input surface. There is no way to dispatch tasks to a Cowork session from a second computer even when both machines are on the same network and signed into the same account.

My setup: I have Claude Desktop running on a desktop PC (Windows 11) that stays on at home. I also have a laptop I move around with. When I open the Dispatch tab on the laptop, it tells me another instance is already running on the desktop. There's no option to connect to that instance as a remote input surface the way my phone can.

I can use Dispatch from my phone, and that works well. But when I'm sitting in front of my laptop with a full keyboard and screen, being forced to use my phone as the intermediary is unnecessary friction.

Proposed Solution

Allow a second Claude Desktop instance (or a claude.ai browser session) to act as a Dispatch input surface, the same role the mobile app plays today. The host machine remains the executor. The second client just sends tasks and receives results.

This could look like:

• A pairing flow between two Claude Desktop instances (similar to the existing mobile QR pairing)
• A claude.ai browser session connected to an active Dispatch host
• Allowing the Dispatch tab to offer a "Connect to existing session" option instead of only "Start new session"

Alternative Solutions

_No response_

Priority

High - Significant impact on productivity

Feature Category

Other

Use Case Example

1. I have a desktop PC running Claude Desktop with Cowork at home.
2. I'm working on a laptop remotely. I want to dispatch a task like "organize the project files in ~/Documents/client-work and generate a summary PDF" and have it execute on the desktop where the files live.
3. Right now I have to pick up my phone, open the Claude mobile app, type the task on a small screen, and then go back to working on my laptop.
4. The phone adds nothing here except friction.
5. If the laptop's Dispatch tab could connect to the desktop's active session the same way my phone does, the workflow would be seamless.

Additional Context

Prior Requests:

This was previously requested in #44052, which was closed along with its duplicates. Reopening was not possible, so I'm filing a new issue to keep the request visible.