[CmdPal] Settings UI polishing (#38094)

<!-- 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

Settings window UI polishing:
- Make the navigation view toggle button move in the title bar when navigation view mode is compact or minimal
- Center settings card in the window
- Properly set windows icon in order to make it visible in task manager and task view

_main branch_
![image](https://github.com/user-attachments/assets/792f0779-016a-4056-81b0-04244d903909)

![image](https://github.com/user-attachments/assets/81ac2761-2a9c-4fe7-a122-2f69f900e656)

_PR_
![image](https://github.com/user-attachments/assets/029b95a0-9629-4732-9f0c-bf586954e887)

![image](https://github.com/user-attachments/assets/81bb2beb-9a07-42cf-8594-16ba5a9cda1b)

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

- [ ] **Closes:**: https://github.com/zadjii-msft/PowerToys/issues/581

---------

Co-authored-by: Niels Laute <niels.laute@live.nl>

src/modules/cmdpal/Microsoft.CmdPal.UI/Settings/SettingsWindow.xaml.cs

@@ -4,6 +4,7 @@
 
 using System.Collections.ObjectModel;
 using CommunityToolkit.Mvvm.Messaging;
+using Microsoft.CmdPal.UI.Helpers;
 using Microsoft.CmdPal.UI.ViewModels;
 using Microsoft.CmdPal.UI.ViewModels.Messages;
 using Microsoft.UI.Windowing;
@@ -24,7 +25,7 @@ public sealed partial class SettingsWindow : Window,
     {
         this.InitializeComponent();
         this.ExtendsContentIntoTitleBar = true;
-        this.AppWindow.SetIcon("ms-appx:///Assets/Icons/StoreLogo.png");
+        this.SetIcon();
         this.AppWindow.Title = RS_.GetString("SettingsWindowTitle");
         this.AppWindow.TitleBar.PreferredHeightOption = TitleBarHeightOption.Tall;
         PositionCentered();
@@ -110,6 +111,27 @@ public sealed partial class SettingsWindow : Window,
         WeakReferenceMessenger.Default.Send<SettingsWindowClosedMessage>();
     }
 
+    private void PaneToggleBtn_Click(object sender, RoutedEventArgs e)
+    {
+        NavView.IsPaneOpen = !NavView.IsPaneOpen;
+    }
+
+    private void NavView_DisplayModeChanged(NavigationView sender, NavigationViewDisplayModeChangedEventArgs args)
+    {
+        if (args.DisplayMode == NavigationViewDisplayMode.Compact || args.DisplayMode == NavigationViewDisplayMode.Minimal)
+        {
+            PaneToggleBtn.Visibility = Visibility.Visible;
+            NavView.IsPaneToggleButtonVisible = false;
+            AppTitleBar.Margin = new Thickness(48, 0, 0, 0);
+        }
+        else
+        {
+            PaneToggleBtn.Visibility = Visibility.Collapsed;
+            NavView.IsPaneToggleButtonVisible = true;
+            AppTitleBar.Margin = new Thickness(16, 0, 0, 0);
+        }
+    }
+
     public void Receive(QuitMessage message)
     {
         // This might come in on a background thread