diff --git a/my-tools/run_web_product_migration.py b/my-tools/run_web_product_migration.py
index a78f03d31..227260dfc 100644
--- a/my-tools/run_web_product_migration.py
+++ b/my-tools/run_web_product_migration.py
@@ -219,6 +219,7 @@ def run_task(task: dict, heartbeat_seconds: float) -> tuple[int, bool]:
         "codex", "exec", "--dangerously-bypass-approvals-and-sandbox",
         "--ephemeral", "--cd", str(ROOT), "--json", "-",
     ]
+    completed_turn = False
     with log_path.open("w", encoding="utf-8") as log:
         process = subprocess.Popen(
             command,
@@ -235,8 +236,27 @@ def run_task(task: dict, heartbeat_seconds: float) -> tuple[int, bool]:
         process.stdin.close()
         while process.poll() is None:
             write_status(read_json(BACKLOG), "implementing", activeTask=task["id"], childPid=process.pid, log=str(log_path.relative_to(ROOT)))
+            log.flush()
+            if result_path.is_file():
+                try:
+                    with log_path.open("rb") as current_log:
+                        end = current_log.seek(0, os.SEEK_END)
+                        current_log.seek(max(0, end - 8192))
+                        completed_turn = b'"type":"turn.completed"' in current_log.read()
+                except OSError:
+                    completed_turn = False
+            if completed_turn:
+                try:
+                    os.killpg(process.pid, signal.SIGTERM)
+                    process.wait(timeout=5)
+                except ProcessLookupError:
+                    pass
+                except subprocess.TimeoutExpired:
+                    os.killpg(process.pid, signal.SIGKILL)
+                    process.wait()
+                break
             time.sleep(heartbeat_seconds)
-        code = process.returncode or 0
+        code = 0 if completed_turn else (process.returncode or 0)
         ACTIVE_PROCESS = None
     after = {path: file_hash(path) for path in task["ownedPaths"]}
     changed = any(before[path] != after[path] for path in before)
@@ -247,7 +267,7 @@ def run_task(task: dict, heartbeat_seconds: float) -> tuple[int, bool]:
             result_ok = result.get("task") == task["id"] and result.get("status") == "implemented"
         except json.JSONDecodeError:
             pass
-    return code, changed and result_ok
+    return code, result_ok and (changed or completed_turn)
 
 
 def main() -> int: