Propagate permission approval environment id (#25862)

## Stack

1. #25850 - Key request-permission grants by environment: stores and
applies sticky permission grants per environment id.
2. #25858 - Add `environmentId` to `request_permissions`: lets the model
target a selected environment and resolves relative permission paths
against it.
3. This PR (#25862) - Propagate permission approval environment id:
carries the selected environment id through approval events, app-server
requests, TUI prompts, and delegate forwarding.
4. #25867 - Add remote request permissions integration coverage:
verifies the selected remote environment across request, approval, grant
reuse, and exec.

This PR is stacked on #25858, and #25867 is stacked on this PR.

## Why

PR2 lets the model bind a `request_permissions` call to a selected
environment, but the approval event and client-facing request still
needed to carry that binding. For CCA, the user-facing prompt and
delegated approval path should know which environment the grant applies
to instead of relying on cwd alone.

## What Changed

- Added optional `environmentId` to `RequestPermissionsEvent`.
- Emit the selected environment id from core permission approval events.
- Preserve the environment id through delegate forwarding, including
cwd-based delegated requests.
- Added `environmentId` to app-server permission approval params,
generated schema/TypeScript artifacts, and README examples.
- Preserve and display the environment id in TUI permission approval
prompts.
- Updated focused core, app-server protocol, and TUI conversion
coverage.

## Testing

Not run locally per instruction. Performed read-only `git diff --check`.

codex-rs/core/src/session/mod.rs

@@ -2251,6 +2251,7 @@ impl Session {
         let event = EventMsg::RequestPermissions(RequestPermissionsEvent {
             call_id: call_id.clone(),
             turn_id: turn_context.sub_id.clone(),
+            environment_id: Some(environment.environment_id.clone()),
             started_at_ms: now_unix_timestamp_ms(),
             reason: args.reason,
             permissions: requested_permissions,
@@ -2279,14 +2280,22 @@ impl Session {
         cwd: AbsolutePathBuf,
         cancellation_token: CancellationToken,
     ) -> Option<RequestPermissionsResponse> {
-        let Some(primary_environment) = turn_context.environments.primary() else {
+        let turn_environment = match args.environment_id.as_deref() {
+            Some(environment_id) => turn_context
+                .environments
+                .turn_environments
+                .iter()
+                .find(|environment| environment.environment_id == environment_id),
+            None => turn_context.environments.primary(),
+        };
+        let Some(turn_environment) = turn_environment else {
             return Some(RequestPermissionsResponse {
                 permissions: RequestPermissionProfile::default(),
                 scope: PermissionGrantScope::Turn,
                 strict_auto_review: false,
             });
         };
-        let mut environment = primary_environment.selection();
+        let mut environment = turn_environment.selection();
         environment.cwd = cwd;
         self.request_permissions_for_environment(
             turn_context,

codex-rs/core/src/session/tests.rs

@@ -5399,6 +5399,10 @@ async fn request_permissions_emits_event_when_granular_policy_allows_requests()
         panic!("expected request_permissions event");
     };
     assert_eq!(request.call_id, call_id);
+    assert_eq!(
+        request.environment_id.as_deref(),
+        Some(codex_exec_server::LOCAL_ENVIRONMENT_ID)
+    );
     #[allow(deprecated)]
     let turn_cwd = turn_context.cwd.clone();
     assert_eq!(request.cwd, Some(turn_cwd));
@@ -5499,6 +5503,7 @@ async fn request_permissions_tool_resolves_relative_paths_against_selected_envir
         }),
         ..Default::default()
     };
+    assert_eq!(request.environment_id.as_deref(), Some("remote"));
     assert_eq!(request.permissions, expected_permissions);
 
     session
@@ -5616,6 +5621,10 @@ async fn request_permissions_response_materializes_session_cwd_grants_before_rec
     let EventMsg::RequestPermissions(request) = request_event.msg else {
         panic!("expected request_permissions event");
     };
+    assert_eq!(
+        request.environment_id.as_deref(),
+        Some(codex_exec_server::LOCAL_ENVIRONMENT_ID)
+    );
     let request_cwd = request.cwd.clone().expect("request cwd");
 
     session