Add default code-mode yield timeout (#14484)

Summary
- expose the default yield timeout through code mode runtime so the
handler, wait tool, and protocol share the same 10s value that matches
unified exec
- document the timeout change in the tool descriptions and propagate the
value all the way into the runner metadata
- adjust Cargo.lock to keep the dependency tree in sync with the added
code mode tool dependency

Testing
- Not run (not requested)

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

@@ -466,6 +466,103 @@ output_text("phase 3");
     Ok(())
 }
 
+#[cfg_attr(windows, ignore = "no exec_command on Windows")]
+#[tokio::test(flavor = "multi_thread", worker_threads = 2)]
+async fn code_mode_yield_timeout_works_for_busy_loop() -> Result<()> {
+    skip_if_no_network!(Ok(()));
+
+    let server = responses::start_mock_server().await;
+    let mut builder = test_codex().with_config(move |config| {
+        let _ = config.features.enable(Feature::CodeMode);
+    });
+    let test = builder.build(&server).await?;
+
+    let code = r#"
+import { output_text, set_yield_time } from "@openai/code_mode";
+
+output_text("phase 1");
+set_yield_time(10);
+while (true) {}
+"#;
+
+    responses::mount_sse_once(
+        &server,
+        sse(vec![
+            ev_response_created("resp-1"),
+            ev_custom_tool_call("call-1", "exec", code),
+            ev_completed("resp-1"),
+        ]),
+    )
+    .await;
+    let first_completion = responses::mount_sse_once(
+        &server,
+        sse(vec![
+            ev_assistant_message("msg-1", "waiting"),
+            ev_completed("resp-2"),
+        ]),
+    )
+    .await;
+
+    tokio::time::timeout(
+        Duration::from_secs(5),
+        test.submit_turn("start the busy loop"),
+    )
+    .await??;
+
+    let first_request = first_completion.single_request();
+    let first_items = custom_tool_output_items(&first_request, "call-1");
+    assert_eq!(first_items.len(), 2);
+    assert_regex_match(
+        concat!(
+            r"(?s)\A",
+            r"Script running with session ID \d+\nWall time \d+\.\d seconds\nOutput:\n\z"
+        ),
+        text_item(&first_items, 0),
+    );
+    assert_eq!(text_item(&first_items, 1), "phase 1");
+    let session_id = extract_running_session_id(text_item(&first_items, 0));
+
+    responses::mount_sse_once(
+        &server,
+        sse(vec![
+            ev_response_created("resp-3"),
+            responses::ev_function_call(
+                "call-2",
+                "exec_wait",
+                &serde_json::to_string(&serde_json::json!({
+                    "session_id": session_id,
+                    "terminate": true,
+                }))?,
+            ),
+            ev_completed("resp-3"),
+        ]),
+    )
+    .await;
+    let second_completion = responses::mount_sse_once(
+        &server,
+        sse(vec![
+            ev_assistant_message("msg-2", "terminated"),
+            ev_completed("resp-4"),
+        ]),
+    )
+    .await;
+
+    test.submit_turn("terminate it").await?;
+
+    let second_request = second_completion.single_request();
+    let second_items = function_tool_output_items(&second_request, "call-2");
+    assert_eq!(second_items.len(), 1);
+    assert_regex_match(
+        concat!(
+            r"(?s)\A",
+            r"Script terminated\nWall time \d+\.\d seconds\nOutput:\n\z"
+        ),
+        text_item(&second_items, 0),
+    );
+
+    Ok(())
+}
+
 #[cfg_attr(windows, ignore = "no exec_command on Windows")]
 #[tokio::test(flavor = "multi_thread", worker_threads = 2)]
 async fn code_mode_can_run_multiple_yielded_sessions() -> Result<()> {