Keep AutoDream visible without marking the foreground session busy, add a task-scoped stop control, and preserve the authoritative stopped bookend emitted by the CLI runtime.
Tested: bun run check:desktop
Tested: bun run check:server
Tested: bun run check:chat-contract
Tested: bun run check:coverage
Tested: real MiniMax-M3 browser smoke for background stop and AutoDream busy-state isolation
Confidence: high
Scope-risk: moderate
Preserve background task visibility after the foreground turn completes and move task progress into an official-style background task drawer.
Keep tabs/sidebar active while background tasks run, delay foreground completion rows until background work is settled, and avoid hiding resumed agents after clearing prior finished entries.
Tested: bun run check:desktop
Confidence: high
Scope-risk: moderate
