feat(core) Persist request_permission data across turns (#14009)

## Summary
request_permissions flows should support persisting results for the
session.

Open Question: Still deciding if we need within-turn approvals - this
adds complexity but I could see it being useful

## Testing
- [x] Updated unit tests

---------

Co-authored-by: Codex <noreply@openai.com>

codex-rs/core/tests/suite/mod.rs

@@ -104,6 +104,8 @@ mod remote_models;
 mod request_compression;
 #[cfg(not(target_os = "windows"))]
 mod request_permissions;
+#[cfg(not(target_os = "windows"))]
+mod request_permissions_tool;
 mod request_user_input;
 mod resume;
 mod resume_warning;