move Automation Notification functionality to UIHelper, implement UIHelper in ListPage and SettingsWindow (#41016)

## Summary of the Pull Request
Fixed #41014 and it overlapped with #40761, so I made a UIHelper
patterning off of WinUI Gallery's
[UIHelpder](0576fb508a/WinUIGallery/Helpers/UIHelper.cs (L63))

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

- [x] Closes: #41014
- [x] **Communication:** I've discussed this with core contributors
already. If the 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



https://github.com/user-attachments/assets/011ee8c1-baaf-47fc-b8f8-ee489b01702b

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

@@ -25,17 +25,11 @@
             <RowDefinition Height="*" />
         </Grid.RowDefinitions>
         <!--  TO DO: Replace this with WinUI TitleBar once that ships.  -->
-        <Button
-            x:Name="PaneToggleBtn"
-            Width="48"
-            HorizontalAlignment="Left"
-            VerticalAlignment="Center"
-            Click="PaneToggleBtn_Click"
-            Style="{StaticResource PaneToggleButtonStyle}" />
         <StackPanel
             x:Name="AppTitleBar"
             Grid.Row="0"
             Height="48"
+            Margin="16,0,0,0"
             Orientation="Horizontal">
             <Image
                 Width="16"