Feature request: Message queuing during an active task

Hi Claude Code team,

The new Claude Code desktop app design looks great — really polished.

One feature I'd love to see: message queuing during an active task.

Right now, when Claude is working on a task, I have to wait until it finishes before I can send the next message. It would be much more productive if I could type follow-up messages and press Enter to queue them — then once the current task completes, the next queued message is sent automatically, and so on.

Use case: I often know the next 2–3 things I want to ask or do while Claude is still working. Instead of waiting and context-switching, I could line them up and let them run sequentially without interruption.

Would love to see this added.

Thanks!