feat: display messages as terminal output

Assistant: codex
Assistant-Model: gpt-5.6-sol
Assistant-Session: 01a03397-4d51-7fd1-8ff2-946eb22ea2bc

src/tamq/control.py

@@ -34,6 +34,18 @@ class ControlModeClient:
             return False
         return expected_pid is None or result.stdout.strip() == str(expected_pid)
 
+    def pane_tty(self, window: str) -> str:
+        result = subprocess.run(
+            [*self._command(), "display-message", "-p", "-t", window, "#{pane_tty}"],
+            text=True,
+            capture_output=True,
+            check=False,
+        )
+        tty_path = result.stdout.strip()
+        if result.returncode != 0 or not tty_path:
+            raise ControlModeError(result.stderr.strip() or f"cannot resolve pane tty: {window}")
+        return tty_path
+
     def start(self) -> None:
         if self.process is not None:
             return