feat: integrate NFC functionality for reading and writing tags

- Added NFCManagerRepository to handle NFC operations using react-native-nfc-manager.
- Implemented ReadNFCTagUseCase and WriteNFCTagUseCase for reading and writing NFC tags.
- Updated app layout to include NFC reader screen.
- Created WriteNFCScreen for writing NFC tags with filament data.
- Enhanced HomeScreen to support NFC reading and added NFC button in FilamentDetailScreen.
- Updated app.json to include react-native-nfc-manager dependency.
- Added animations and user feedback for NFC operations in the UI.

mobile/app/(app)/_layout.tsx

@@ -3,6 +3,8 @@ import { Stack } from 'expo-router';
 
 export default function AppLayout(): React.ReactElement {
   return (
-    <Stack screenOptions={{ headerShown: false, contentStyle: { backgroundColor: '#1E1B18' } }} />
+    <Stack screenOptions={{ headerShown: false, contentStyle: { backgroundColor: '#1E1B18' } }}>
+      <Stack.Screen name="nfc-reader" options={{ presentation: 'transparentModal', animation: 'slide_from_bottom' }} />
+    </Stack>
   );
 }