Codebase audit fixes: stability and performance

- Safe int conversion for position/duration (catch ValueError/TypeError)
- Hoist get_media_folders() out of browse loop (N+1 → 1 API call)
- Fix path separator detection alongside folder metadata fetch
- Increase browse pagination limit from 1000 to 5000

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

custom_components/remote_media_player/media_player.py

@@ -385,7 +385,12 @@ class RemoteMediaPlayerEntity(CoordinatorEntity[MediaPlayerCoordinator], MediaPl
         if self.coordinator.data is None:
             return None
         duration = self.coordinator.data.get("duration")
-        return int(duration) if duration is not None else None
+        if duration is None:
+            return None
+        try:
+            return int(duration)
+        except (ValueError, TypeError):
+            return None
 
     @property
     def media_position(self) -> int | None:
@@ -393,7 +398,12 @@ class RemoteMediaPlayerEntity(CoordinatorEntity[MediaPlayerCoordinator], MediaPl
         if self.coordinator.data is None:
             return None
         position = self.coordinator.data.get("position")
-        return int(position) if position is not None else None
+        if position is None:
+            return None
+        try:
+            return int(position)
+        except (ValueError, TypeError):
+            return None
 
     @property
     def media_position_updated_at(self) -> datetime | None:
@@ -575,7 +585,14 @@ class RemoteMediaPlayerEntity(CoordinatorEntity[MediaPlayerCoordinator], MediaPl
             raise ValueError("Invalid media_content_id format")
 
         # Get folder contents from API
-        browse_data = await self.coordinator.client.browse_folder(folder_id, path, offset=0, limit=1000)
+        browse_data = await self.coordinator.client.browse_folder(folder_id, path, offset=0, limit=5000)
+
+        # Fetch folder metadata once (not per-item) for building absolute paths
+        folders = await self.coordinator.client.get_media_folders()
+        base_path = folders.get(folder_id, {}).get("path", "")
+        # Detect path separator from server's base_path (Unix vs Windows)
+        separator = '\\' if '\\' in base_path else '/'
+        base_path_clean = base_path.rstrip('/\\')
 
         children = []
         for item in browse_data.get("items", []):
@@ -593,15 +610,8 @@ class RemoteMediaPlayerEntity(CoordinatorEntity[MediaPlayerCoordinator], MediaPl
                     )
                 )
             elif item.get("is_media", False):
-                # Media file
-                # Build absolute path for playback
-                folders = await self.coordinator.client.get_media_folders()
-                base_path = folders[folder_id]["path"]
+                # Media file - build absolute path for playback
                 file_path_in_folder = f"{path}/{item['name']}" if path else item['name']
-                # Handle platform path separators
-                separator = '\\' if '\\' in base_path else '/'
-                # Ensure base_path doesn't end with separator to avoid double separators
-                base_path_clean = base_path.rstrip('/\\')
                 absolute_path = f"{base_path_clean}{separator}{file_path_in_folder.replace('/', separator)}"
 
                 children.append(