Add telemetry for shortcut conflict detection feature. (#41271)

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fix/what does it change/how was it tested (even manually, if necessary)?
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## Summary of the Pull Request
Add telemetry for shortcut conflict detection.

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## PR Checklist

- [ ] Closes: #xxx
- [ ] **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
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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

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or any additional comments/features here -->
## Detailed Description of the Pull Request / Additional comments

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---------

Signed-off-by: Shawn Yuan <shuaiyuan@microsoft.com>
Signed-off-by: Shuai Yuan <shuai.yuan.zju@gmail.com>

src/settings-ui/Settings.UI/SettingsXAML/Controls/Dashboard/ShortcutConflictControl.xaml.cs

@@ -7,7 +7,9 @@ using System.Collections.Generic;
 using System.ComponentModel;
 using System.Linq;
 using Microsoft.PowerToys.Settings.UI.Library.HotkeyConflicts;
+using Microsoft.PowerToys.Settings.UI.Library.Telemetry.Events;
 using Microsoft.PowerToys.Settings.UI.SettingsXAML.Controls.Dashboard;
+using Microsoft.PowerToys.Telemetry;
 using Microsoft.UI.Xaml;
 using Microsoft.UI.Xaml.Controls;
 using Microsoft.Windows.ApplicationModel.Resources;
@@ -18,6 +20,8 @@ namespace Microsoft.PowerToys.Settings.UI.Controls
     {
         private static readonly ResourceLoader ResourceLoader = Helpers.ResourceLoaderInstance.ResourceLoader;
 
+        private static bool _telemetryEventSent;
+
         public static readonly DependencyProperty AllHotkeyConflictsDataProperty =
             DependencyProperty.Register(
                 nameof(AllHotkeyConflictsData),
@@ -92,6 +96,17 @@ namespace Microsoft.PowerToys.Settings.UI.Controls
 
             // Update visibility based on conflict count
             Visibility = HasConflicts ? Visibility.Visible : Visibility.Collapsed;
+
+            if (!_telemetryEventSent && HasConflicts)
+            {
+                // Log telemetry event when conflicts are detected
+                PowerToysTelemetry.Log.WriteEvent(new ShortcutConflictDetectedEvent()
+                {
+                    ConflictCount = ConflictCount,
+                });
+
+                _telemetryEventSent = true;
+            }
         }
 
         private void OnPropertyChanged(string propertyName)
@@ -115,6 +130,12 @@ namespace Microsoft.PowerToys.Settings.UI.Controls
                 return;
             }
 
+            // Log telemetry event when user clicks the shortcut conflict button
+            PowerToysTelemetry.Log.WriteEvent(new ShortcutConflictControlClickedEvent()
+            {
+                ConflictCount = this.ConflictCount,
+            });
+
             // Create and show the new window instead of dialog
             var conflictWindow = new ShortcutConflictWindow();
 

src/settings-ui/Settings.UI/SettingsXAML/Controls/ShortcutControl/ShortcutControl.xaml.cs

@@ -10,17 +10,26 @@ using CommunityToolkit.WinUI;
 using Microsoft.PowerToys.Settings.UI.Helpers;
 using Microsoft.PowerToys.Settings.UI.Library;
 using Microsoft.PowerToys.Settings.UI.Library.HotkeyConflicts;
+using Microsoft.PowerToys.Settings.UI.Library.Telemetry.Events;
 using Microsoft.PowerToys.Settings.UI.Services;
 using Microsoft.PowerToys.Settings.UI.Views;
+using Microsoft.PowerToys.Telemetry;
 using Microsoft.UI.Xaml;
 using Microsoft.UI.Xaml.Automation;
 using Microsoft.UI.Xaml.Controls;
 using Microsoft.UI.Xaml.Input;
+using Microsoft.UI.Xaml.Media;
 using Microsoft.Windows.ApplicationModel.Resources;
 using Windows.System;
 
 namespace Microsoft.PowerToys.Settings.UI.Controls
 {
+    public enum ShortcutControlSource
+    {
+        SettingsPage,
+        ConflictWindow,
+    }
+
     public sealed partial class ShortcutControl : UserControl, IDisposable
     {
         private readonly UIntPtr ignoreKeyEventFlag = (UIntPtr)0x5555;
@@ -43,6 +52,9 @@ namespace Microsoft.PowerToys.Settings.UI.Controls
         public static readonly DependencyProperty HasConflictProperty = DependencyProperty.Register("HasConflict", typeof(bool), typeof(ShortcutControl), new PropertyMetadata(false, OnHasConflictChanged));
         public static readonly DependencyProperty TooltipProperty = DependencyProperty.Register("Tooltip", typeof(string), typeof(ShortcutControl), new PropertyMetadata(null, OnTooltipChanged));
 
+        // Dependency property to track the source/context of the ShortcutControl
+        public static readonly DependencyProperty SourceProperty = DependencyProperty.Register("Source", typeof(ShortcutControlSource), typeof(ShortcutControl), new PropertyMetadata(ShortcutControlSource.SettingsPage));
+
         private static ResourceLoader resourceLoader = Helpers.ResourceLoaderInstance.ResourceLoader;
 
         private static void OnAllowDisableChanged(DependencyObject d, DependencyPropertyChangedEventArgs e)
@@ -74,6 +86,47 @@ namespace Microsoft.PowerToys.Settings.UI.Controls
             }
 
             control.UpdateKeyVisualStyles();
+
+            // Check if conflict was resolved (had conflict before, no conflict now)
+            var oldValue = (bool)(e.OldValue ?? false);
+            var newValue = (bool)(e.NewValue ?? false);
+
+            // General conflict resolution telemetry (for all sources)
+            if (oldValue && !newValue)
+            {
+                // Determine the actual source based on the control's context
+                var actualSource = DetermineControlSource(control);
+
+                // Conflict was resolved - send general telemetry
+                PowerToysTelemetry.Log.WriteEvent(new ShortcutConflictResolvedEvent()
+                {
+                    Source = actualSource.ToString(),
+                });
+            }
+        }
+
+        private static ShortcutControlSource DetermineControlSource(ShortcutControl control)
+        {
+            // Walk up the visual tree to find the parent window/container
+            DependencyObject parent = control;
+            while (parent != null)
+            {
+                parent = VisualTreeHelper.GetParent(parent);
+
+                // Check if we're in a ShortcutConflictWindow
+                if (parent != null && parent.GetType().Name == "ShortcutConflictWindow")
+                {
+                    return ShortcutControlSource.ConflictWindow;
+                }
+
+                if (parent != null && (parent.GetType().Name == "MainWindow" || parent.GetType().Name == "ShellPage"))
+                {
+                    return ShortcutControlSource.SettingsPage;
+                }
+            }
+
+            // Fallback to the explicitly set value or default
+            return ShortcutControlSource.ConflictWindow;
         }
 
         private static void OnTooltipChanged(DependencyObject d, DependencyPropertyChangedEventArgs e)
@@ -108,6 +161,12 @@ namespace Microsoft.PowerToys.Settings.UI.Controls
             set => SetValue(TooltipProperty, value);
         }
 
+        public ShortcutControlSource Source
+        {
+            get => (ShortcutControlSource)GetValue(SourceProperty);
+            set => SetValue(SourceProperty, value);
+        }
+
         public bool Enabled
         {
             get