Add InternalName for monitor identification

Enhanced monitor identification by introducing the `InternalName`
property as a unique identifier, with fallback to `HardwareId`
for backward compatibility. Updated `MainViewModel` logic,
logging, and UI bindings to use `InternalName`.

Extended `ProfileMonitorSetting` to include `MonitorInternalName`
for serialization and profile management. Adjusted profile
creation and pre-fill logic to support the new property.

These changes improve robustness, maintain compatibility with
older profiles, and enhance clarity in logging and the UI.

src/modules/powerdisplay/PowerDisplay/ViewModels/MainViewModel.cs

@@ -591,16 +591,27 @@ public partial class MainViewModel : INotifyPropertyChanged, IDisposable
 
         foreach (var setting in monitorSettings)
         {
-            // Find monitor by HardwareId
+            // Find monitor by InternalName first (unique identifier), fallback to HardwareId for old profiles
-            var monitorVm = Monitors.FirstOrDefault(m => m.HardwareId == setting.HardwareId);
+            MonitorViewModel? monitorVm = null;
+            
+            if (!string.IsNullOrEmpty(setting.MonitorInternalName))
+            {
+                monitorVm = Monitors.FirstOrDefault(m => m.InternalName == setting.MonitorInternalName);
+            }
+            
+            // Fallback to HardwareId for backward compatibility with old profiles
+            if (monitorVm == null)
+            {
+                monitorVm = Monitors.FirstOrDefault(m => m.HardwareId == setting.HardwareId);
+            }
 
             if (monitorVm == null)
             {
-                Logger.LogWarning($"[Profile] Monitor with HardwareId '{setting.HardwareId}' not found (disconnected?)");
+                Logger.LogWarning($"[Profile] Monitor with InternalName '{setting.MonitorInternalName}' or HardwareId '{setting.HardwareId}' not found (disconnected?)");
                 continue;
             }
 
-            Logger.LogInfo($"[Profile] Applying settings to monitor '{monitorVm.Name}' (HardwareId: {setting.HardwareId})");
+            Logger.LogInfo($"[Profile] Applying settings to monitor '{monitorVm.Name}' (InternalName: {setting.MonitorInternalName}, HardwareId: {setting.HardwareId})");
 
             // Apply brightness if included in profile
             if (setting.Brightness.HasValue &&

src/modules/powerdisplay/PowerDisplay/ViewModels/MonitorViewModel.cs

@@ -324,6 +324,8 @@ public partial class MonitorViewModel : INotifyPropertyChanged, IDisposable
 
     public string HardwareId => _monitor.HardwareId;
 
+    public string InternalName => _monitor.Id;
+
     public string Name => _monitor.Name;
 
     public string Manufacturer => _monitor.Manufacturer;

src/settings-ui/Settings.UI.Library/ProfileMonitorSetting.cs

@@ -26,18 +26,23 @@ namespace Microsoft.PowerToys.Settings.UI.Library
         [JsonPropertyName("colorTemperature")]
         public int? ColorTemperature { get; set; }
 
+        [JsonPropertyName("monitorInternalName")]
+        public string MonitorInternalName { get; set; }
+
         public ProfileMonitorSetting()
         {
             HardwareId = string.Empty;
+            MonitorInternalName = string.Empty;
         }
 
-        public ProfileMonitorSetting(string hardwareId, int? brightness = null, int? colorTemperature = null, int? contrast = null, int? volume = null)
+        public ProfileMonitorSetting(string hardwareId, int? brightness = null, int? colorTemperature = null, int? contrast = null, int? volume = null, string monitorInternalName = "")
         {
             HardwareId = hardwareId;
             Brightness = brightness;
             ColorTemperature = colorTemperature;
             Contrast = contrast;
             Volume = volume;
+            MonitorInternalName = monitorInternalName;
         }
     }
 }

src/settings-ui/Settings.UI/SettingsXAML/Views/ProfileEditorDialog.xaml

@@ -70,7 +70,7 @@
                                                 Style="{StaticResource BodyStrongTextBlockStyle}" 
                                                 Foreground="{ThemeResource TextFillColorSecondaryBrush}"/>
                                             <TextBlock 
-                                                Text="{x:Bind Monitor.HardwareId}" 
+                                                Text="{x:Bind Monitor.InternalName}" 
                                                 Style="{StaticResource CaptionTextBlockStyle}" 
                                                 Foreground="{ThemeResource TextFillColorTertiaryBrush}" />
                                         </StackPanel>
@@ -100,7 +100,7 @@
                                                     Text="{x:Bind Monitor.Name}" 
                                                     Style="{StaticResource BodyStrongTextBlockStyle}" />
                                                 <TextBlock 
-                                                    Text="{x:Bind Monitor.HardwareId}" 
+                                                    Text="{x:Bind Monitor.InternalName}" 
                                                     Style="{StaticResource CaptionTextBlockStyle}" 
                                                     Foreground="{ThemeResource TextFillColorSecondaryBrush}" />
                                             </StackPanel>

src/settings-ui/Settings.UI/SettingsXAML/Views/ProfileEditorDialog.xaml.cs

@@ -57,7 +57,7 @@ namespace Microsoft.PowerToys.Settings.UI.Views
             // Pre-fill monitor settings from existing profile
             foreach (var monitorSetting in profile.MonitorSettings)
             {
-                var monitorItem = ViewModel.Monitors.FirstOrDefault(m => m.Monitor.HardwareId == monitorSetting.HardwareId);
+                var monitorItem = ViewModel.Monitors.FirstOrDefault(m => m.Monitor.InternalName == monitorSetting.MonitorInternalName);
                 if (monitorItem != null)
                 {
                     monitorItem.IsSelected = true;

src/settings-ui/Settings.UI/ViewModels/ProfileEditorViewModel.cs

@@ -108,7 +108,8 @@ namespace Microsoft.PowerToys.Settings.UI.ViewModels
                     m.IncludeBrightness ? (int?)m.Brightness : null,
                     m.IncludeColorTemperature && m.SupportsColorTemperature ? (int?)m.ColorTemperature : null,
                     m.IncludeContrast && m.SupportsContrast ? (int?)m.Contrast : null,
-                    m.IncludeVolume && m.SupportsVolume ? (int?)m.Volume : null))
+                    m.IncludeVolume && m.SupportsVolume ? (int?)m.Volume : null,
+                    m.Monitor.InternalName))
                 .ToList();
 
             return new PowerDisplayProfile(_profileName, settings);