Permission ("Allow") prompts only appear on the device running the session — no way to approve remotely from mobile

### Preflight Checklist

- [x] I have searched [existing requests](https://github.com/anthropics/claude-code/issues?q=is%3Aissue%20label%3Aenhancement) and this feature hasn't been requested yet
- [x] This is a single feature request (not multiple features)

### Problem Statement

When following a Claude Code session from the mobile app while the actual session is running on a desktop PC, permission prompts (e.g. "Consenti"/"Allow" for a tool call) only appear on the PC screen. There is no way to see or approve them from the mobile app.
Impact
If the user isn't physically in front of the PC when a permission prompt appears, the session stalls completely — it cannot proceed until someone manually clicks "Allow" on that specific machine. This defeats the purpose of following/managing a session remotely from mobile.
Steps to reproduce
Start a Claude Code session on a PC in a permission mode that requires approval for certain tool calls.
Open the same session from the mobile app.
Trigger a tool call that requires approval.
Observe: the approval prompt shows only on the PC; the mobile app gives no indication a prompt is waiting, and offers no way to approve it.
Expected behavior
Either surface the pending approval request in the mobile app (with an "Allow"/"Deny" action there too), or provide a way to configure permission modes so that expected/repeated actions don't require a synchronous prompt when working remotely.
Environment
Desktop: Windows, Claude Code CLI
Mobile: Claude Code mobile app, same session followed remotely

### Proposed Solution

When following a session from the mobile app while it actually runs on a desktop PC, permission prompts ("Allow"/"Consenti" for a tool call) should also be visible and actionable from the mobile app. Concretely:
- The mobile app should show a clear indicator that a tool call is waiting for approval on the session, with the same context shown on desktop (which command/action is being requested).
- The user should be able to tap "Allow" or "Deny" directly from the mobile app, without needing physical access to the PC.
- Alternatively, allow configuring a permission mode where expected/repeated actions don't require a synchronous prompt at all when the user is working remotely, so the session doesn't stall waiting for input that can't be given.

### Alternative Solutions

Currently the only workaround is to be physically at the PC when a prompt appears, or to pre-approve everything by using a more permissive permission mode from the start — which isn't ideal for sensitive actions.

### Priority

Critical - Blocking my work

### Feature Category

CLI commands and flags

### Use Case Example

_No response_

### Additional Context

_No response_

No source files, tests, or entry points are identified. Reproduce the Windows desktop session from the stated steps, then trace how a permission request is exposed to the mobile app and define done as a visible pending request with actionable Allow/Deny controls or an explicitly implemented remote-safe permission mode.

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