[eric] browser: receipt-done (clean send click ends the run in code, no Done turn) + staged-run two-tool script hint

backend/apps/agents/browser/browser_agent.py

@@ -1746,6 +1746,17 @@ async def run_browser_agent(
                         for r in (result.get("results") or []))
                     if p_send_click:
                         send_confirmed = True
+                        if os.environ.get("OSW_RECEIPT_DONE", "1") != "0":
+                            # Deterministic receipt: the clean send click IS the proof, so the run ends here in code instead of paying one more model turn for a Done. Same honesty bar (the click + composer-clear is the evidence the gate reads), ~3s less wall per send.
+                            done_called = True
+                            done_success = True
+                            p_payload = browser_batch_replay.send_payload_from_log(action_log, task)
+                            done_message = (
+                                f'Sent "{p_payload}", the send registered and the composer cleared.'
+                                if p_payload else
+                                "Sent it, the send registered and the composer cleared."
+                            )
+                            logger.info(f"[browser-receipt {session_id}] send receipt passed; run ends in code (no Done turn)")
                         result["text"] = (f"{result.get('text') or ''}\n\n[task complete] The send "
                             "went through (the composer cleared). Don't re-check it. Finish now by "
                             "calling Done with your reply to the user.")

backend/apps/agents/browser/browser_prestage.py

@@ -96,7 +96,10 @@ def stage_note_for(start_url: str, done: list[str], current_url: str, complete:
             f"[Pre-staged for you and VERIFIED: starting from {start_url or 'the entry page'}, "
             f"already performed: {'; '.join(done)}. You are NOW on {current_url}. The "
             "navigation part of the task is DONE, do not go back or re-verify it; "
-            "perform only the remaining final action(s).]"
+            "perform only the remaining final action(s). Staged runs took 7 solo turns "
+            "where 2 suffice: if the remaining work is composing, use ONE BrowserBatch to "
+            "focus the box and type the text, then the Send/Submit click SOLO with expect. "
+            "Do not re-list first; the elements are listed below.]"
         )
     return (
         f"[Partial pre-staging: already performed {'; '.join(done)}. You are NOW on "

backend/tests/conftest.py

@@ -34,6 +34,7 @@ def _isolate_browser_state(monkeypatch):
     monkeypatch.setenv("OSW_FASTREAD_HOP", "0")
     monkeypatch.setenv("OSW_PRELUDE_TRIM", "0")
     monkeypatch.setenv("OSW_DEADCARD_EVICT", "0")
+    monkeypatch.setenv("OSW_RECEIPT_DONE", "0")
 
     def _reset():
         for mod in ("browser_skills", "browser_playbook"):