feat(adb_client): expose last_dump so consumers can parse the Audio playback section from the same query

custom_components/nvidia_shield/ha_adb_common/adb_client.py

@@ -72,8 +72,10 @@ class AdbClientBase:
 
         # Media session state
         self._last_info: MediaSessionInfo | None = None
+        self._last_dump: str | None = None
         self._all_sessions: list[MediaSessionInfo] = []
 
+
     @property
     def connected(self) -> bool:
         return self._connected
@@ -89,6 +91,7 @@ class AdbClientBase:
     def clear_info(self) -> None:
         """Clear the cached media session info."""
         self._last_info = None
+        self._last_dump = None
         self._all_sessions = []
 
     async def connect(self) -> bool:
@@ -196,12 +199,22 @@ class AdbClientBase:
         if head_lines is not None:
             command += f" | head -{head_lines}"
         dump = await self.shell(command)
+        self._last_dump = dump if dump is not None else None
         if dump is None:
             return None
         self._all_sessions = parse_all_media_sessions(dump)
         self._last_info = parse_media_session(dump, foreground_package)
         return self._last_info
 
+    @property
+    def last_dump(self) -> str | None:
+        """Raw output of the last media-session query (or None if it failed).
+
+        Shared consumers (the ShieldConnectionManager) parse the "Audio
+        playback" section from this same dump — no extra round trip.
+        """
+        return self._last_dump
+
     # -- Health check --
 
     async def health_check(self) -> bool: