CmdPal: Add history to the new run page (#40427)

_⚠️ targets #39955_

This adds history support to the new run page.

* It'll initialize the history with the history from the run dialog, if
there is any.
* Any new commands that are run, or files/dirs that are opened will also
get added to the history
* history will persist across reboots

src/modules/cmdpal/Microsoft.CmdPal.UI/RunHistoryService.cs

@@ -0,0 +1,50 @@
+// 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 Microsoft.CmdPal.Common.Services;
+using Microsoft.CmdPal.UI.ViewModels;
+
+namespace Microsoft.CmdPal.UI;
+
+internal sealed class RunHistoryService : IRunHistoryService
+{
+    private readonly AppStateModel _appStateModel;
+
+    public RunHistoryService(AppStateModel appStateModel)
+    {
+        _appStateModel = appStateModel;
+    }
+
+    public IReadOnlyList<string> GetRunHistory()
+    {
+        if (_appStateModel.RunHistory.Count == 0)
+        {
+            var history = Microsoft.Terminal.UI.RunHistory.CreateRunHistory();
+            _appStateModel.RunHistory.AddRange(history);
+        }
+
+        return _appStateModel.RunHistory;
+    }
+
+    public void ClearRunHistory()
+    {
+        _appStateModel.RunHistory.Clear();
+    }
+
+    public void AddRunHistoryItem(string item)
+    {
+        // insert at the beginning of the list
+        if (string.IsNullOrWhiteSpace(item))
+        {
+            return; // Do not add empty or whitespace items
+        }
+
+        _appStateModel.RunHistory.Remove(item);
+
+        // Add the item to the front of the history
+        _appStateModel.RunHistory.Insert(0, item);
+
+        AppStateModel.SaveState(_appStateModel);
+    }
+}