feat: redesign home screen with discovery-focused UI

Overhauls the home screen to provide a modern, media-focused discovery
experience. Key changes include:

- Introduced a featured content carousel at the top, highlighting
  continue watching items, next up episodes, and library additions.
- Implemented a search overlay with a real-time search bar and grid
  results for movies and series.
- Redesigned the top bar with a large collapsible title and subtitle
  that dynamically reflects content status.
- Updated sections for "Continue Watching", "Next Up", and libraries
  with high-fidelity cards, progress indicators, and better typography.
- Added a dedicated empty state with quick actions for refreshing or
  browsing libraries.
- Improved navigation by adding library-specific click actions and
  search-to-detail transitions.

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

core/model/src/main/java/hu/bbara/purefin/core/model/SearchResult.kt

@@ -24,7 +24,7 @@ data class SearchResult(
                 id = series.id,
                 title = series.name,
                 posterUrl = imageUrl,
-                type = BaseItemKind.MOVIE
+                type = BaseItemKind.SERIES
             )
         }
     }