[Bug]: iOS does not show Monitoring status displayed on desktop and web

Problem and reproduction

When the same thread shows Monitoring on desktop and web, the iOS app does not show a corresponding monitoring indicator. This makes it unclear whether the agent is still watching/waiting or has finished.

1. Use a thread that desktop/web currently labels Monitoring.
2. Open the same environment and thread in the iOS app.
3. Compare the thread status: desktop/web communicates monitoring, while iOS provides no equivalent indication.

Expected: iOS should visibly distinguish Monitoring from active Working and completed/idle states, consistent with desktop/web. Check both the thread list and open-thread presentation, and clear the indicator when monitoring ends.

Environment and source evidence

Observed with a Mac-hosted T3 Code environment; desktop version 0.0.38. The iOS app was recently installed/updated; its exact version/JS update is unconfirmed.

Upstream source inspected at 223ff4490f764a74ff911589e97b9bbcd595fee8:

• Web status resolution explicitly handles backgroundLiveness === "monitoring", separately from background subagents doing active work.
• Mobile status presentation has no Monitoring branch.
• Mobile thread-list v2 considers approvals, input and parent-session status, then falls back to ready; it does not consume background liveness.

These are source observations, not confirmation of the exact code installed on the phone.

Related issues checked

• #4962 covers mobile looking idle while background subagents are working. This report specifically covers the distinct Monitoring state for passive watch/wait activity.
• #6402 covers broader mobile subagent visibility and is closed.
• Missing Done presentation already has an open report, #4952. Done behavior has not been independently confirmed in this case and is not a second asserted bug here.

Start with apps/mobile/src/features/threads/threadPresentation.ts and apps/mobile/src/features/threads/threadListV2.ts, then compare their status handling with apps/web/src/components/Sidebar.logic.ts at the referenced commit. Verify the iOS thread list and open-thread presentation distinguish Monitoring from Working and ready, and that the indicator clears when monitoring ends.