app-server: expose loaded thread status via read/list and notifications (#11786)

Motivation
- Today, a newly connected client has no direct way to determine the
current runtime status of threads from read/list responses alone.
- This forces clients to infer state from transient events, which can
lead to stale or inconsistent UI when reconnecting or attaching late.

Changes
- Add `status` to `thread/read` responses.
- Add `statuses` to `thread/list` responses.
- Emit `thread/status/changed` notifications with `threadId` and the new
status.
- Track runtime status for all loaded threads and default unknown
threads to `idle`.
- Update protocol/docs/tests/schema fixtures for the revised API.

Testing
- Validated protocol API changes with automated protocol tests and
regenerated schema/type fixtures.
- Validated app-server behavior with unit and integration test suites,
including status transitions and notifications.

codex-rs/app-server-protocol/src/protocol/v2.rs

@@ -1837,6 +1837,29 @@ pub struct ThreadLoadedListResponse {
     pub next_cursor: Option<String>,
 }
 
+#[derive(Serialize, Deserialize, Debug, Clone, PartialEq, JsonSchema, TS)]
+#[serde(tag = "type", rename_all = "camelCase")]
+#[ts(tag = "type")]
+#[ts(export_to = "v2/")]
+pub enum ThreadStatus {
+    NotLoaded,
+    Idle,
+    SystemError,
+    #[serde(rename_all = "camelCase")]
+    #[ts(rename_all = "camelCase")]
+    Active {
+        active_flags: Vec<ThreadActiveFlag>,
+    },
+}
+
+#[derive(Serialize, Deserialize, Debug, Clone, Copy, PartialEq, Eq, JsonSchema, TS)]
+#[serde(rename_all = "camelCase")]
+#[ts(export_to = "v2/")]
+pub enum ThreadActiveFlag {
+    WaitingOnApproval,
+    WaitingOnUserInput,
+}
+
 #[derive(Serialize, Deserialize, Debug, Clone, PartialEq, JsonSchema, TS)]
 #[serde(rename_all = "camelCase")]
 #[ts(export_to = "v2/")]
@@ -2153,6 +2176,8 @@ pub struct Thread {
     /// Unix timestamp (in seconds) when the thread was last updated.
     #[ts(type = "number")]
     pub updated_at: i64,
+    /// Current runtime status for the thread.
+    pub status: ThreadStatus,
     /// [UNSTABLE] Path to the thread on disk.
     pub path: Option<PathBuf>,
     /// Working directory captured for the thread.
@@ -2941,6 +2966,14 @@ pub struct ThreadStartedNotification {
     pub thread: Thread,
 }
 
+#[derive(Serialize, Deserialize, Debug, Clone, PartialEq, JsonSchema, TS)]
+#[serde(rename_all = "camelCase")]
+#[ts(export_to = "v2/")]
+pub struct ThreadStatusChangedNotification {
+    pub thread_id: String,
+    pub status: ThreadStatus,
+}
+
 #[derive(Serialize, Deserialize, Debug, Clone, PartialEq, JsonSchema, TS)]
 #[serde(rename_all = "camelCase")]
 #[ts(export_to = "v2/")]