[Feature] PowerToys hotkey conflict detection (#41029)

<!-- 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
Implements comprehensive hotkey conflict detection and resolution system
for PowerToys, providing real-time conflict checking and centralized
management interface.

## PR Checklist

- [ ] **Closes:** #xxx
- [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
- [x] **Localization:** All end-user-facing strings can be localized
- [x] **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)
- [x] **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: [Shortcut conflict detction dev
spec](https://github.com/MicrosoftDocs/windows-dev-docs/pull/5519)

## TODO Lists
- [x] Add real-time hotkey validation functionality to the hotkey dialog
- [x] Immediately detect conflicts and update shortcut conflict status
after applying new shortcuts
- [x] Return conflict list from runner hotkey conflict detector for
conflict checking.
- [x] Implement the Tooltip for every shortcut control 
- [x] Add dialog UI for showing all the shortcut conflicts
- [x] Support changing shortcut directly inside the shortcut conflict
window/dialog, no need to nav to the settings page.
- [x] Redesign the `ShortcutConflictDialogContentControl` to align with
the spec
- [x] Add navigating and changing hotkey auctionability to the
`ShortcutConflictDialogContentControl`
- [x] Add telemetry. Impemented in [another
PR](https://github.com/shuaiyuanxx/PowerToys/pull/47)

## Shortcut Conflict Support Modules

![image](https://github.com/user-attachments/assets/3915174e-d1e7-4f86-8835-2a1bafcc85c9)

<details>
<summary>Demo videos</summary>


https://github.com/user-attachments/assets/476d992c-c6ca-4bcd-a3f2-b26cc612d1b9


https://github.com/user-attachments/assets/1c1a2537-de54-4db2-bdbf-6f1908ff1ce7


https://github.com/user-attachments/assets/9c992254-fc2b-402c-beec-20fceef25e6b


https://github.com/user-attachments/assets/d66abc1c-b8bf-45f8-a552-ec989dab310f
</details>

<!-- 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
Manually validation performed.

---------

Signed-off-by: Shawn Yuan <shuaiyuan@microsoft.com>
Signed-off-by: Shuai Yuan <shuai.yuan.zju@gmail.com>
Co-authored-by: Niels Laute <niels.laute@live.nl>

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

@@ -3,9 +3,11 @@
 // See the LICENSE file in the project root for more information.
 
 using System;
+using System.Collections.Generic;
 using System.Runtime.CompilerServices;
 using global::PowerToys.GPOWrapper;
 using ManagedCommon;
+using Microsoft.PowerToys.Settings.UI.Helpers;
 using Microsoft.PowerToys.Settings.UI.Library;
 using Microsoft.PowerToys.Settings.UI.Library.Helpers;
 using Microsoft.PowerToys.Settings.UI.Library.Interfaces;
@@ -13,14 +15,14 @@ using Microsoft.PowerToys.Settings.UI.Library.ViewModels.Commands;
 
 namespace Microsoft.PowerToys.Settings.UI.ViewModels
 {
-    public partial class FancyZonesViewModel : Observable
+    public partial class FancyZonesViewModel : PageViewModelBase
     {
-        private SettingsUtils SettingsUtils { get; set; }
+        protected override string ModuleName => FancyZonesSettings.ModuleName;
+
+        private ISettingsUtils SettingsUtils { get; set; }
 
         private GeneralSettings GeneralSettingsConfig { get; set; }
 
-        private const string ModuleName = FancyZonesSettings.ModuleName;
-
         public ButtonClickCommand LaunchEditorEventHandler { get; set; }
 
         private FancyZonesSettings Settings { get; set; }
@@ -44,7 +46,7 @@ namespace Microsoft.PowerToys.Settings.UI.ViewModels
             Positional = 2,
         }
 
-        public FancyZonesViewModel(SettingsUtils settingsUtils, ISettingsRepository<GeneralSettings> settingsRepository, ISettingsRepository<FancyZonesSettings> moduleSettingsRepository, Func<string, int> ipcMSGCallBackFunc, string configFileSubfolder = "")
+        public FancyZonesViewModel(ISettingsUtils settingsUtils, ISettingsRepository<GeneralSettings> settingsRepository, ISettingsRepository<FancyZonesSettings> moduleSettingsRepository, Func<string, int> ipcMSGCallBackFunc, string configFileSubfolder = "")
         {
             ArgumentNullException.ThrowIfNull(settingsUtils);
 
@@ -88,8 +90,9 @@ namespace Microsoft.PowerToys.Settings.UI.ViewModels
             _excludedApps = Settings.Properties.FancyzonesExcludedApps.Value;
             _systemTheme = Settings.Properties.FancyzonesSystemTheme.Value;
             _showZoneNumber = Settings.Properties.FancyzonesShowZoneNumber.Value;
-            EditorHotkey = Settings.Properties.FancyzonesEditorHotkey.Value;
             _windowSwitching = Settings.Properties.FancyzonesWindowSwitching.Value;
+
+            EditorHotkey = Settings.Properties.FancyzonesEditorHotkey.Value;
             NextTabHotkey = Settings.Properties.FancyzonesNextTabHotkey.Value;
             PrevTabHotkey = Settings.Properties.FancyzonesPrevTabHotkey.Value;
 
@@ -134,6 +137,16 @@ namespace Microsoft.PowerToys.Settings.UI.ViewModels
             }
         }
 
+        public override Dictionary<string, HotkeySettings[]> GetAllHotkeySettings()
+        {
+            var hotkeysDict = new Dictionary<string, HotkeySettings[]>
+            {
+                [ModuleName] = [EditorHotkey, NextTabHotkey, PrevTabHotkey],
+            };
+
+            return hotkeysDict;
+        }
+
         private GpoRuleConfigured _enabledGpoRuleConfiguration;
         private bool _enabledStateIsGPOConfigured;
         private bool _isEnabled;