BUG: UnauthorizedAccessException for Cache Files

### Checks

- [ ] I have checked that this issue has not already been reported.

- [x] I am using the latest version of Flow Launcher.

- [ ] I am using the prerelease version of Flow Launcher.

### Problem Description

Flow Launcher version: 1.20.0
OS Version: 22631.4751
IntPtr Length: 8
x64: True

Python Path:
Node Path:

Date: 06/12/2025 20:26:20
Exception:
System.UnauthorizedAccessException: Access to the path 'D:\Program Files\FlowLauncher\app-1.20.0\UserData\Cache\Image.cache' is denied.
at Microsoft.Win32.SafeHandles.SafeFileHandle.CreateFile(String fullPath, FileMode mode, FileAccess access, FileShare share, FileOptions options)
at Microsoft.Win32.SafeHandles.SafeFileHandle.Open(String fullPath, FileMode mode, FileAccess access, FileShare share, FileOptions options, Int64 preallocationSize, Nullable`1 unixCreateMode)
at System.IO.Strategies.OSFileStreamStrategy..ctor(String path, FileMode mode, FileAccess access, FileShare share, FileOptions options, Int64 preallocationSize, Nullable`1 unixCreateMode)
at System.IO.Strategies.FileStreamHelpers.ChooseStrategyCore(String path, FileMode mode, FileAccess access, FileShare share, FileOptions options, Int64 preallocationSize, Nullable`1 unixCreateMode)
at System.IO.FileStream..ctor(String path, FileMode mode)
at Flow.Launcher.Infrastructure.Storage.BinaryStorage`1.TryLoadAsync(T defaultData) in C:\projects\flow-launcher\Flow.Launcher.Infrastructure\Storage\BinaryStorage.cs:line 69
at Flow.Launcher.Infrastructure.Image.ImageLoader.LoadStorageToConcurrentDictionaryAsync() in C:\projects\flow-launcher\Flow.Launcher.Infrastructure\Image\ImageLoader.cs:line 98
at Flow.Launcher.Infrastructure.Image.ImageLoader.InitializeAsync() in C:\projects\flow-launcher\Flow.Launcher.Infrastructure\Image\ImageLoader.cs:line 42
at Flow.Launcher.App.b__14_0() in C:\projects\flow-launcher\Flow.Launcher\App.xaml.cs:line 199
at Flow.Launcher.Infrastructure.Stopwatch.InfoAsync(String className, String message, Func`1 action, String methodName) in C:\projects\flow-launcher\Flow.Launcher.Infrastructure\Stopwatch.cs:line 53
at Flow.Launcher.App.OnStartup(Object sender, StartupEventArgs e) in C:\projects\flow-launcher\Flow.Launcher\App.xaml.cs:line 161
at System.Threading.Tasks.Task.<>c.b__128_0(Object state)
at System.Windows.Threading.ExceptionWrapper.InternalRealCall(Delegate callback, Object args, Int32 numArgs)
at System.Windows.Threading.ExceptionWrapper.TryCatchWhen(Object source, Delegate callback, Object args, Int32 numArgs, Delegate catchHandler)

### To Reproduce

1. ...
2. ...
3. ...

### Screenshots

_No response_

### Flow Launcher Version

1.20.0

### Windows Build Number

10.0.22631.4751

### Error Log

[2025-06-12.txt](https://github.com/user-attachments/files/20709065/2025-06-12.txt)