fix(cron): preserve composed reports when verify-on-stop exhausts budget

Clear stale final_response before verify-on-stop/pre_verify loop
continues, and normalize iteration-limit exit reasons in turn_finalizer
when a composed answer survives with unknown/budget_exhausted.

Fixes #61631

agent/conversation_loop.py

@@ -5173,6 +5173,11 @@ def run_conversation(
                     # terminal. Keep a debug breadcrumb in agent.log for tracing.
                     logger.debug("verification stop-loop nudge issued (attempt %d)",
                                  agent._verification_stop_nudges)
+                    # The attempted answer lives in ``final_msg`` / ``messages`` for
+                    # the verify loop; do not keep a stale ``final_response`` that
+                    # would skip turn_finalizer's iteration-limit normalization.
+                    # (#61631)
+                    final_response = None
                     continue
 
                 # User verification-loop gate: when the agent edited code this
@@ -5224,6 +5229,7 @@ def run_conversation(
                     agent._session_messages = messages
                     logger.debug("pre_verify nudge issued (attempt %d)",
                                  agent._pre_verify_nudges)
+                    final_response = None
                     continue
 
                 messages.append(final_msg)

agent/turn_finalizer.py

@@ -121,6 +121,24 @@ def finalize_turn(
                     exc_info=True,
                 )
 
+    elif (
+        final_response is not None
+        and (
+            api_call_count >= agent.max_iterations
+            or agent.iteration_budget.remaining <= 0
+        )
+        and not str(_turn_exit_reason).startswith("text_response(")
+        and not str(_turn_exit_reason).startswith("max_iterations_reached(")
+    ):
+        # verify-on-stop can assign ``final_response`` then ``continue`` the
+        # loop until the iteration budget is gone, leaving a composed answer
+        # with a non-success exit reason (``unknown``, ``budget_exhausted``).
+        # Normalize so cron's graceful-delivery exemption can match.
+        # (#61631)
+        _turn_exit_reason = (
+            f"max_iterations_reached({api_call_count}/{agent.max_iterations})"
+        )
+
     # Determine if conversation completed successfully
     normal_text_response = str(_turn_exit_reason).startswith("text_response(")
     completed = (