refactor: remove omitProviderInModelName functionality and related localization

- Removed the omitProviderInModelName key from PreferenceKeys and its associated logic throughout the codebase.
- Updated SettingsService and AppSettings to eliminate references to the omitted provider functionality.
- Cleaned up related localization strings in multiple languages to reflect the removal of this feature.
- Enhanced code clarity and maintainability by streamlining settings management.

lib/l10n/app_de.arb

@@ -291,8 +291,6 @@
   "quickActionsDescription": "Wähle bis zu zwei Schnellzugriffe, die neben dem Eingabefeld angepinnt werden",
   "display": "Anzeige",
   "realtime": "Echtzeit",
-  "hideProviderInModelNames": "Anbieter in Modellnamen ausblenden",
-  "hideProviderInModelNamesDescription": "Zeige Namen wie \"gpt-4o\" statt \"openai/gpt-4o\".",
   "transportMode": "Transportmodus",
   "transportModeDescription": "Wähle, wie die App für Echtzeit-Updates verbindet.",
   "mode": "Modus",

lib/l10n/app_en.arb

@@ -584,10 +584,6 @@
   "@display": {"description": "Section header for visual and layout related settings."},
   "realtime": "Realtime",
   "@realtime": {"description": "Section header for realtime/transport settings."},
-  "hideProviderInModelNames": "Hide provider in model names",
-  "@hideProviderInModelNames": {"description": "Toggle label to hide the provider prefix in model names (e.g., show gpt-4o instead of openai/gpt-4o)."},
-  "hideProviderInModelNamesDescription": "Show names like \"gpt-4o\" instead of \"openai/gpt-4o\".",
-  "@hideProviderInModelNamesDescription": {"description": "Helper text for provider hiding toggle."},
   "transportMode": "Transport mode",
   "@transportMode": {"description": "Title for selecting the networking transport used for realtime."},
   "transportModeDescription": "Choose how the app connects for realtime updates.",

lib/l10n/app_fr.arb

@@ -291,8 +291,6 @@
   "quickActionsDescription": "Choisissez jusqu'à deux raccourcis à épingler près du champ de saisie",
   "display": "Affichage",
   "realtime": "Temps réel",
-  "hideProviderInModelNames": "Masquer le fournisseur dans les noms de modèles",
-  "hideProviderInModelNamesDescription": "Afficher des noms comme \"gpt-4o\" au lieu de \"openai/gpt-4o\".",
   "transportMode": "Mode de transport",
   "transportModeDescription": "Choisissez comment l'app se connecte pour les mises à jour en temps réel.",
   "mode": "Mode",

lib/l10n/app_it.arb

@@ -291,8 +291,6 @@
   "quickActionsDescription": "Scegli fino a due scorciatoie da fissare vicino al campo di input",
   "display": "Schermo",
   "realtime": "Tempo reale",
-  "hideProviderInModelNames": "Nascondi provider nei nomi dei modelli",
-  "hideProviderInModelNamesDescription": "Mostra nomi come \"gpt-4o\" invece di \"openai/gpt-4o\".",
   "transportMode": "Modalità di trasporto",
   "transportModeDescription": "Scegli come l'app si connette per gli aggiornamenti in tempo reale.",
   "mode": "Modalità",

lib/l10n/app_localizations.dart

@@ -1596,18 +1596,6 @@ abstract class AppLocalizations {
   /// **'Realtime'**
   String get realtime;
 
-  /// Toggle label to hide the provider prefix in model names (e.g., show gpt-4o instead of openai/gpt-4o).
-  ///
-  /// In en, this message translates to:
-  /// **'Hide provider in model names'**
-  String get hideProviderInModelNames;
-
-  /// Helper text for provider hiding toggle.
-  ///
-  /// In en, this message translates to:
-  /// **'Show names like \"gpt-4o\" instead of \"openai/gpt-4o\".'**
-  String get hideProviderInModelNamesDescription;
-
   /// Title for selecting the networking transport used for realtime.
   ///
   /// In en, this message translates to:

lib/l10n/app_localizations_de.dart

@@ -835,13 +835,6 @@ class AppLocalizationsDe extends AppLocalizations {
   @override
   String get realtime => 'Echtzeit';
 
-  @override
-  String get hideProviderInModelNames => 'Anbieter in Modellnamen ausblenden';
-
-  @override
-  String get hideProviderInModelNamesDescription =>
-      'Zeige Namen wie \"gpt-4o\" statt \"openai/gpt-4o\".';
-
   @override
   String get transportMode => 'Transportmodus';
 

lib/l10n/app_localizations_en.dart

@@ -828,13 +828,6 @@ class AppLocalizationsEn extends AppLocalizations {
   @override
   String get realtime => 'Realtime';
 
-  @override
-  String get hideProviderInModelNames => 'Hide provider in model names';
-
-  @override
-  String get hideProviderInModelNamesDescription =>
-      'Show names like \"gpt-4o\" instead of \"openai/gpt-4o\".';
-
   @override
   String get transportMode => 'Transport mode';
 

lib/l10n/app_localizations_fr.dart

@@ -843,14 +843,6 @@ class AppLocalizationsFr extends AppLocalizations {
   @override
   String get realtime => 'Temps réel';
 
-  @override
-  String get hideProviderInModelNames =>
-      'Masquer le fournisseur dans les noms de modèles';
-
-  @override
-  String get hideProviderInModelNamesDescription =>
-      'Afficher des noms comme \"gpt-4o\" au lieu de \"openai/gpt-4o\".';
-
   @override
   String get transportMode => 'Mode de transport';
 

lib/l10n/app_localizations_it.dart

@@ -832,14 +832,6 @@ class AppLocalizationsIt extends AppLocalizations {
   @override
   String get realtime => 'Tempo reale';
 
-  @override
-  String get hideProviderInModelNames =>
-      'Nascondi provider nei nomi dei modelli';
-
-  @override
-  String get hideProviderInModelNamesDescription =>
-      'Mostra nomi come \"gpt-4o\" invece di \"openai/gpt-4o\".';
-
   @override
   String get transportMode => 'Modalità di trasporto';