[Workspaces] Change workspaces icon store position (#39677)

<!-- Enter a brief description/summary of your PR here. What does it
fix/what does it change/how was it tested (even manually, if necessary)?
-->
## Summary of the Pull Request
Before, workspaces ico are stored in temp folder, which is easily
cleaned up by user.
After clean, user has to explicitly save icon once again.
With this change, icons are stored at the same position with workspaces
settings

<!-- Please review the items on the PR checklist before submitting-->
## PR Checklist

- [X] **Closes:** #35004
- [ ] **Communication:** I've discussed this with core contributors
already. If work hasn't been agreed, this work might be rejected
- [ ] **Tests:** Added/updated and all pass
- [ ] **Localization:** All end user facing strings can be localized
- [ ] **Dev docs:** Added/updated
- [ ] **New binaries:** Added on the required places
- [ ] [JSON for
signing](https://github.com/microsoft/PowerToys/blob/main/.pipelines/ESRPSigning_core.json)
for new binaries
- [ ] [WXS for
installer](https://github.com/microsoft/PowerToys/blob/main/installer/PowerToysSetup/Product.wxs)
for new binaries and localization folder
- [ ] [YML for CI
pipeline](https://github.com/microsoft/PowerToys/blob/main/.pipelines/ci/templates/build-powertoys-steps.yml)
for new test projects
- [ ] [YML for signed
pipeline](https://github.com/microsoft/PowerToys/blob/main/.pipelines/release.yml)
- [ ] **Documentation updated:** If checked, please file a pull request
on [our docs
repo](https://github.com/MicrosoftDocs/windows-uwp/tree/docs/hub/powertoys)
and link it here: #xxx

<!-- Provide a more detailed description of the PR, other things fixed
or any additional comments/features here -->
## Detailed Description of the Pull Request / Additional comments

<!-- Describe how you validated the behavior. Add automated tests
wherever possible, but list manual validation steps taken as well -->
## Validation Steps Performed

![image](https://github.com/user-attachments/assets/66723ba6-bb4e-4768-ba06-df105ea7f65e)

---------

Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>

src/modules/Workspaces/WorkspacesEditor/ViewModels/MainViewModel.cs

@@ -193,27 +193,29 @@ namespace WorkspacesEditor.ViewModels
             ApplyShortcut(editedProject);
         }
 
+        private string GetDesktopShortcutAddress(Project project) => Path.Combine(FolderUtils.Desktop(), project.Name + ".lnk");
+
+        private string GetShortcutStoreAddress(Project project)
+        {
+            var dataFolder = FolderUtils.DataFolder();
+            Directory.CreateDirectory(dataFolder);
+            var shortcutStoreFolder = Path.Combine(dataFolder, "WorkspacesIcons");
+            Directory.CreateDirectory(shortcutStoreFolder);
+            return Path.Combine(shortcutStoreFolder, project.Id + ".ico");
+        }
+
         private void ApplyShortcut(Project project)
         {
-            string basePath = AppDomain.CurrentDomain.BaseDirectory;
-            string shortcutAddress = Path.Combine(FolderUtils.Desktop(), project.Name + ".lnk");
-            string shortcutIconFilename = Path.Combine(FolderUtils.Temp(), project.Id + ".ico");
-
             if (!project.IsShortcutNeeded)
             {
-                if (File.Exists(shortcutIconFilename))
-                {
-                    File.Delete(shortcutIconFilename);
-                }
-
-                if (File.Exists(shortcutAddress))
-                {
-                    File.Delete(shortcutAddress);
-                }
-
+                RemoveShortcut(project);
                 return;
             }
 
+            var basePath = AppDomain.CurrentDomain.BaseDirectory;
+            var shortcutAddress = GetDesktopShortcutAddress(project);
+            var shortcutIconFilename = GetShortcutStoreAddress(project);
+
             Bitmap icon = WorkspacesIcon.DrawIcon(WorkspacesIcon.IconTextFromProjectName(project.Name), App.ThemeManager.GetCurrentTheme());
             WorkspacesIcon.SaveIcon(icon, shortcutIconFilename);
 
@@ -360,8 +362,8 @@ namespace WorkspacesEditor.ViewModels
 
         private void RemoveShortcut(Project selectedProject)
         {
-            string shortcutAddress = Path.Combine(FolderUtils.Desktop(), selectedProject.Name + ".lnk");
-            string shortcutIconFilename = Path.Combine(FolderUtils.Temp(), selectedProject.Id + ".ico");
+            string shortcutAddress = GetDesktopShortcutAddress(selectedProject);
+            string shortcutIconFilename = GetShortcutStoreAddress(selectedProject);
 
             if (File.Exists(shortcutIconFilename))
             {