app-server: fix flaky list_apps_returns_connectors_with_accessible_flags test (#12286)

## Why

`app/list` emits `app/list/updated` after whichever async load finishes
first (directory connectors or accessible tools). This test assumed the
directory-backed update always arrived first because it injected a tools
delay, but that assumption is not stable when the process-global Codex
Apps tools cache is already warm. In that case the accessible-tools path
can return immediately and the first notification shape flips, which
makes the assertion flaky.

Relevant code paths:

-
[`codex-rs/app-server/src/codex_message_processor.rs`](13ec97d72e/codex-rs/app-server/src/codex_message_processor.rs (L4949-L5034))
(concurrent loads + per-load `app/list/updated` notifications)
-
[`codex-rs/core/src/mcp_connection_manager.rs`](13ec97d72e/codex-rs/core/src/mcp_connection_manager.rs (L1182-L1197))
(Codex Apps tools cache hit path)

## What Changed

Updated
`suite::v2::app_list::list_apps_returns_connectors_with_accessible_flags`
in `codex-rs/app-server/tests/suite/v2/app_list.rs` to accept either
valid first `app/list/updated` payload:

- the directory-first snapshot
- the accessible-tools-first snapshot

The test still keeps the later assertions strict:

- the second `app/list/updated` notification must be the fully merged
result
- the final `app/list` response must match the same merged result

I also added an inline comment explaining why the first notification is
intentionally order-insensitive.

## Verification

- `cargo test -p codex-app-server`

codex-rs/app-server/tests/suite/v2/app_list.rs

@@ -491,39 +491,60 @@ async fn list_apps_returns_connectors_with_accessible_flags() -> Result<()> {
         })
         .await?;
 
+    let expected_directory_first = vec![
+        AppInfo {
+            id: "alpha".to_string(),
+            name: "Alpha".to_string(),
+            description: Some("Alpha connector".to_string()),
+            logo_url: Some("https://example.com/alpha.png".to_string()),
+            logo_url_dark: None,
+            distribution_channel: None,
+            branding: None,
+            app_metadata: None,
+            labels: None,
+            install_url: Some("https://chatgpt.com/apps/alpha/alpha".to_string()),
+            is_accessible: false,
+            is_enabled: true,
+        },
+        AppInfo {
+            id: "beta".to_string(),
+            name: "beta".to_string(),
+            description: None,
+            logo_url: None,
+            logo_url_dark: None,
+            distribution_channel: None,
+            branding: None,
+            app_metadata: None,
+            labels: None,
+            install_url: Some("https://chatgpt.com/apps/beta/beta".to_string()),
+            is_accessible: false,
+            is_enabled: true,
+        },
+    ];
+    let expected_accessible_first = vec![AppInfo {
+        id: "beta".to_string(),
+        name: "Beta App".to_string(),
+        description: None,
+        logo_url: None,
+        logo_url_dark: None,
+        distribution_channel: None,
+        branding: None,
+        app_metadata: None,
+        labels: None,
+        install_url: Some("https://chatgpt.com/apps/beta-app/beta".to_string()),
+        is_accessible: true,
+        is_enabled: true,
+    }];
+
     let first_update = read_app_list_updated_notification(&mut mcp).await?;
-    assert_eq!(
-        first_update.data,
-        vec![
-            AppInfo {
-                id: "alpha".to_string(),
-                name: "Alpha".to_string(),
-                description: Some("Alpha connector".to_string()),
-                logo_url: Some("https://example.com/alpha.png".to_string()),
-                logo_url_dark: None,
-                distribution_channel: None,
-                branding: None,
-                app_metadata: None,
-                labels: None,
-                install_url: Some("https://chatgpt.com/apps/alpha/alpha".to_string()),
-                is_accessible: false,
-                is_enabled: true,
-            },
-            AppInfo {
-                id: "beta".to_string(),
-                name: "beta".to_string(),
-                description: None,
-                logo_url: None,
-                logo_url_dark: None,
-                distribution_channel: None,
-                branding: None,
-                app_metadata: None,
-                labels: None,
-                install_url: Some("https://chatgpt.com/apps/beta/beta".to_string()),
-                is_accessible: false,
-                is_enabled: true,
-            },
-        ]
+    // app/list emits an update after whichever async load finishes first. Even with
+    // a tools delay in this test, the accessible-tools path can return first if the
+    // process-global Codex Apps tools cache is warm from another test.
+    assert!(
+        first_update.data == expected_directory_first
+            || first_update.data == expected_accessible_first,
+        "unexpected first app/list update: {:#?}",
+        first_update.data
     );
 
     let expected = vec![