hotfix: fallback to retry when install confirmation stays pending

When Android remains in pendingUserAction without progressing, the app could stay stuck in Requesting installation.
Add a minimal timeout fallback in the Android package manager flow: after 10s in pending confirmation, transition to InstallCancelled and release the install slot so users can immediately retry.

lib/services/package_manager/android_package_manager.dart

@@ -69,6 +69,7 @@ final class AndroidPackageManager extends PackageManager {
 
   static const _methodChannel = MethodChannel('android_package_manager');
   static const _eventChannel = EventChannel('android_package_manager/events');
+  static const _pendingUserActionTimeout = Duration(seconds: 10);
 
   bool _supportsSilentInstall = false;
   int _syncGeneration = 0;
@@ -227,6 +228,24 @@ final class AndroidPackageManager extends PackageManager {
         break;
 
       case InstallStatus.pendingUserAction:
+        // If pending user action lingers too long, treat it like dismiss/cancel
+        // and surface "Install (retry)" instead of staying stuck requesting.
+        if (existingOp is Installing &&
+            !existingOp.isSilent &&
+            DateTime.now().difference(existingOp.startedAt) >=
+                _pendingUserActionTimeout) {
+          if (filePath != null) {
+            setOperation(
+              appId,
+              InstallCancelled(target: target, filePath: filePath),
+            );
+          } else {
+            clearOperation(appId);
+          }
+          clearInstallSlot(appId);
+          break;
+        }
+
         // User action required. Ensure we don't get stuck in Verifying if the
         // STARTED event was missed; show Installing state.
         // Skip if already in Installing or SystemProcessing to preserve the