feat(tv): add Apple TV+ style hero carousel to home page

app/(auth)/(tabs)/(home)/index.tsx

@@ -1,15 +1,6 @@
-import { useSettings } from "@/utils/atoms/settings";
 import { Home } from "../../../../components/home/Home";
-import { HomeWithCarousel } from "../../../../components/home/HomeWithCarousel";
 
 const Index = () => {
-  const { settings } = useSettings();
-  const showLargeHomeCarousel = settings.showLargeHomeCarousel ?? false;
-
-  if (showLargeHomeCarousel) {
-    return <HomeWithCarousel />;
-  }
-
   return <Home />;
 };
 

app/(auth)/(tabs)/(home)/settings.tv.tsx

@@ -358,6 +358,11 @@ export default function SettingsTV() {
             value={settings.showHomeBackdrop}
             onToggle={(value) => updateSettings({ showHomeBackdrop: value })}
           />
+          <TVSettingsToggle
+            label={t("home.settings.appearance.show_hero_carousel")}
+            value={settings.showTVHeroCarousel}
+            onToggle={(value) => updateSettings({ showTVHeroCarousel: value })}
+          />
 
           {/* User Section */}
           <TVSectionHeader