Rename the [Ee]xts dir to ext (#38852)

**WARNING:** This PR will probably blow up all in-flight PRs

at some point in the early days of CmdPal, two of us created seperate
`Exts` and `exts` dirs. Depending on what the casing was on the branch
that you checked one of those out from, it'd get stuck like that on your
PC forever.

Windows didn't care, so we never noticed.

But GitHub does care, and now browsing the source on GitHub is basically
impossible.

Closes #38081

src/modules/cmdpal/ext/Microsoft.CmdPal.Ext.WebSearch/Commands/OpenURLCommand.cs

@@ -0,0 +1,37 @@
+// 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.Ext.WebSearch.Helpers;
+using Microsoft.CommandPalette.Extensions.Toolkit;
+
+using BrowserInfo = Microsoft.CmdPal.Ext.WebSearch.Helpers.DefaultBrowserInfo;
+
+namespace Microsoft.CmdPal.Ext.WebSearch.Commands;
+
+internal sealed partial class OpenURLCommand : InvokableCommand
+{
+    private readonly SettingsManager _settingsManager;
+
+    public string Url { get; internal set; } = string.Empty;
+
+    internal OpenURLCommand(string url, SettingsManager settingsManager)
+    {
+        Url = url;
+        BrowserInfo.UpdateIfTimePassed();
+        Icon = IconHelpers.FromRelativePath("Assets\\WebSearch.png");
+        Name = string.Empty;
+        _settingsManager = settingsManager;
+    }
+
+    public override CommandResult Invoke()
+    {
+        if (!ShellHelpers.OpenCommandInShell(BrowserInfo.Path, BrowserInfo.ArgumentsPattern, $"{Url}"))
+        {
+            // TODO GH# 138 --> actually display feedback from the extension somewhere.
+            return CommandResult.KeepOpen();
+        }
+
+        return CommandResult.Dismiss();
+    }
+}

src/modules/cmdpal/ext/Microsoft.CmdPal.Ext.WebSearch/Commands/SearchWebCommand.cs

@@ -0,0 +1,44 @@
+// 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;
+using Microsoft.CmdPal.Ext.WebSearch.Helpers;
+using Microsoft.CmdPal.Ext.WebSearch.Properties;
+using Microsoft.CommandPalette.Extensions.Toolkit;
+
+using BrowserInfo = Microsoft.CmdPal.Ext.WebSearch.Helpers.DefaultBrowserInfo;
+
+namespace Microsoft.CmdPal.Ext.WebSearch.Commands;
+
+internal sealed partial class SearchWebCommand : InvokableCommand
+{
+    private readonly SettingsManager _settingsManager;
+
+    public string Arguments { get; internal set; } = string.Empty;
+
+    internal SearchWebCommand(string arguments, SettingsManager settingsManager)
+    {
+        Arguments = arguments;
+        BrowserInfo.UpdateIfTimePassed();
+        Icon = IconHelpers.FromRelativePath("Assets\\WebSearch.png");
+        Name = Properties.Resources.open_in_default_browser;
+        _settingsManager = settingsManager;
+    }
+
+    public override CommandResult Invoke()
+    {
+        if (!ShellHelpers.OpenCommandInShell(BrowserInfo.Path, BrowserInfo.ArgumentsPattern, $"? {Arguments}"))
+        {
+            // TODO GH# 138 --> actually display feedback from the extension somewhere.
+            return CommandResult.KeepOpen();
+        }
+
+        if (_settingsManager.ShowHistory != Resources.history_none)
+        {
+            _settingsManager.SaveHistory(new HistoryItem(Arguments, DateTime.Now));
+        }
+
+        return CommandResult.Dismiss();
+    }
+}