Render Codex web searches as common tools

server/src/session/codex/translate.rs

@@ -268,7 +268,7 @@ fn tool(item: &Value) -> Option<(String, String, Value)> {
             json!({"path": item.get("path").cloned().unwrap_or(Value::Null)}),
         ),
         "web_search" | "webSearch" => (
-            "web_search".to_string(),
+            "WebSearch".to_string(),
             json!({"query": item.get("query").cloned().unwrap_or(Value::Null)}),
         ),
         "todo_list" | "todoList" | "plan" => ("update_plan".to_string(), item.clone()),
@@ -611,6 +611,20 @@ mod tests {
         );
     }
 
+    #[test]
+    fn web_search_uses_the_common_tool_shape() {
+        assert_eq!(
+            tool(&line(
+                r#"{"id":"search-1","type":"webSearch","query":"Codex app-server protocol"}"#,
+            )),
+            Some((
+                "search-1".to_string(),
+                "WebSearch".to_string(),
+                json!({"query": "Codex app-server protocol"})
+            ))
+        );
+    }
+
     #[test]
     fn a_file_change_becomes_the_common_patch_shape() {
         let mut translator = Translator::default();