[Settings, Common.UI, runner exe] Unify exe/dll naming (#15005)

* Unify exe/dll naming - PowerToys.Runner

Align naming with other exes - PowerToys Runner -> PowerToys.Runner

* Unify exe/dll naming - Microsoft.PowerToys.Common.UI

Project name - Microsoft.PowerToys.Common.UI -> Common.UI
dll name - Microsoft.PowerToys.Common.UI.dll -> PowerToys.Common.UI.dll

* Unify exe/dll naming - Settings

Project names - Microsoft.PowerToys.Settings* -> Settings*
Dll names - Microsoft.PowerToys.Settings*.dll -> PowerToys.Settings*.dll

* Revert file autoformat

* [Docs] Update paths to settings projects/files

* Fix tests - Update path

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

@@ -0,0 +1,33 @@
+// Copyright (c) Microsoft Corporation
+// The Microsoft Corporation licenses this file to you under the MIT license.
+// See the LICENSE file in the project root for more information.
+
+using System.Text.Json;
+using System.Text.Json.Serialization;
+
+namespace Microsoft.PowerToys.Settings.UI.Library
+{
+    // Represents the configuration property of the settings that store Integer type.
+    public class IntProperty
+    {
+        public IntProperty()
+        {
+            Value = 0;
+        }
+
+        public IntProperty(int value)
+        {
+            Value = value;
+        }
+
+        // Gets or sets the integer value of the settings configuration.
+        [JsonPropertyName("value")]
+        public int Value { get; set; }
+
+        // Returns a JSON version of the class settings configuration class.
+        public override string ToString()
+        {
+            return JsonSerializer.Serialize(this);
+        }
+    }
+}