feat(core) Introduce Feature::RequestPermissions (#11871)

## Summary
Introduces the initial implementation of Feature::RequestPermissions.
RequestPermissions allows the model to request that a command be run
inside the sandbox, with additional permissions, like writing to a
specific folder. Eventually this will include other rules as well, and
the ability to persist these permissions, but this PR is already quite
large - let's get the core flow working and go from there!

<img width="1279" height="541" alt="Screenshot 2026-02-15 at 2 26 22 PM"
src="https://github.com/user-attachments/assets/0ee3ec0f-02ec-4509-91a2-809ac80be368"
/>

## Testing
- [x] Added tests
- [x] Tested locally
- [x] Feature

codex-rs/app-server/tests/suite/send_message.rs

@@ -478,6 +478,7 @@ fn assert_permissions_message(item: &ResponseItem) {
                 AskForApproval::Never,
                 &Policy::empty(),
                 &PathBuf::from("/tmp"),
+                false,
             )
             .into_text();
             assert_eq!(