feat(ios): add iOS 26+ continued processing and Live Activities (#1514)

ui/flutter/lib/app/application/continued_processing.dart

@@ -0,0 +1,39 @@
+import 'dart:io';
+
+import 'package:flutter/services.dart';
+
+class ContinuedProcessing {
+  const ContinuedProcessing._();
+
+  static const _channel =
+      MethodChannel('gopeed/continued_processing');
+
+  static Future<bool> isSupported() async {
+    if (!Platform.isIOS) return false;
+
+    try {
+      return await _channel.invokeMethod<bool>(
+            'isSupported',
+          ) ??
+          false;
+    } catch (_) {
+      return false;
+    }
+  }
+
+  static Future<bool> setEnabled(
+    bool enabled,
+  ) async {
+    if (!Platform.isIOS) return false;
+
+    try {
+      return await _channel.invokeMethod<bool>(
+            'setEnabled',
+            {'enabled': enabled},
+          ) ??
+          false;
+    } catch (_) {
+      return false;
+    }
+  }
+}