implement Room local data source and refactor media repository

- Integrate Room database with entities for `Movie`, `Series`, `Season`, `Episode`, and `CastMember`.
- Implement `RoomMediaLocalDataSource` to handle persistent storage and retrieval of media data.
- Refactor `InMemoryMediaRepository` to use the local data source and synchronize with the Jellyfin API.
- Update `HomePageViewModel`, `SeriesViewModel`, and `EpisodeScreenViewModel` to leverage the new repository logic.
- Replace generic `ItemDto` with specific `MovieDto`, `SeriesDto`, and `EpisodeDto` for type-safe navigation.
- Refactor UI models and components in `SeriesScreen`, `EpisodeScreen`, and `HomeSections` to use domain models directly.
- Enhance `JellyfinApiClient` requests to include necessary fields like `CHILD_COUNT` and `PARENT_ID`.
- Update Gradle dependencies to include Room and KSP.

gradle/libs.versions.toml

@@ -19,6 +19,7 @@ foundation = "1.10.1"
 coil = "3.3.0"
 media3 = "1.9.0"
 nav3Core = "1.0.0"
+room = "2.6.1"
 
 [libraries]
 androidx-core-ktx = { group = "androidx.core", name = "core-ktx", version.ref = "coreKtx" }
@@ -54,6 +55,8 @@ medi3-ui = { group = "androidx.media3", name = "media3-ui", version.ref = "media
 medi3-ui-compose = { group = "androidx.media3", name = "media3-ui-compose-material3", version.ref = "media3"}
 androidx-navigation3-runtime = { module = "androidx.navigation3:navigation3-runtime", version.ref = "nav3Core" }
 androidx-navigation3-ui = { module = "androidx.navigation3:navigation3-ui", version.ref = "nav3Core" }
+androidx-room-ktx = { module = "androidx.room:room-ktx", version.ref = "room" }
+androidx-room-compiler = { module = "androidx.room:room-compiler", version.ref = "room" }
 
 
 [plugins]