[FEATURE] Claude Desktop App - Desktop app doesn't show busy indicator for local/remote-control instances

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

When running Claude Code as a cloud instance, the desktop app correctly shows a busy/progress indicator while work is in progress. However, when running a local instance or using remote control, no such indicator is shown, the desktop app is visually silent.

Comparison: OpenAI Codex desktop app shows busy indicators correctly across all session types.

Proposed Solution

Add an observable state signal (e.g. named pipe, socket, or status file) that allows the desktop app and other tooling to reflect instance busy state regardless of how the instance was launched.

Alternative Solutions

_No response_

Priority

Medium - Would be very helpful

Feature Category

Other

Use Case Example

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Additional Context

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