Allow multiple chats while one task is running

[ghorbelilyes]

Environment

• VS Code version:
• Chat extension version:
• OS:

Problem

When a chat task/request is running, the current chat session becomes locked and I cannot properly use or start another chat at the same time.

This blocks multitasking workflows.

Expected behavior

It should be possible to:

• open another chat while a previous task is still running
• continue asking questions in parallel
• switch between chats independently

Steps to reproduce

1. Start a long-running task in chat
2. Try opening a new chat
3. Observe that the previous running chat blocks normal usage

Suggested improvement

Support parallel chat sessions/tasks so users can continue working in another chat while one request is processing.

[niles]

Yes please! At least let me "tab" over to an older chat to read or copy and warn that starting a new chat (or resuming an older one) will stop the other active one.