Add category search chips to Install tab for improved filtering (#4826)

* Add Quick Category Search Chips to Install tab

Add category shortcut chips on the Install tab that insert the category
name into the existing search box. Append each app's category as a
description tag so the existing description search filters by category.
Reuses the standard button style and existing search; no search, install,
or preset logic is changed.

* Fix install category chip filtering

* Fix category filter refresh behavior

---------

Co-authored-by: Chris Titus <contact@christitus.com>

pester/search-filter.Tests.ps1

@@ -172,18 +172,27 @@ namespace Windows.Controls
                     WPFInstallBrowser = [pscustomobject]@{
                         Content = "Firefox"
                         Description = "Fast private browser"
+                        Category = "Browsers"
                     }
                     WPFInstallMedia = [pscustomobject]@{
                         Content = "VLC"
                         Description = "Media player"
+                        Category = "Multimedia Tools"
                     }
                     WPFInstallLiteral = [pscustomobject]@{
                         Content = "Tool [abc]"
                         Description = "Literal wildcard sample"
+                        Category = "Utilities"
                     }
                     WPFInstallEditor = [pscustomobject]@{
                         Content = "Code Editor"
                         Description = "Text editing"
+                        Category = "Development"
+                    }
+                    WPFInstallPowerToys = [pscustomobject]@{
+                        Content = "PowerToys"
+                        Description = "A collection of system utilities"
+                        Category = "Microsoft Tools"
                     }
                 }
             }
@@ -363,6 +372,19 @@ Describe "Find-AppsByNameOrDescription" {
         $mediaItem.Visibility | Should -Be ([Windows.Visibility]::Collapsed)
         $category.Visibility | Should -Be ([Windows.Visibility]::Visible)
     }
+
+    It "filters category chips by exact application category" {
+        $utilityItem = New-WinUtilAppSearchItem -Tag "WPFInstallLiteral"
+        $powerToysItem = New-WinUtilAppSearchItem -Tag "WPFInstallPowerToys"
+        $category = New-WinUtilAppCategory -Label "- Tools" -Items @($utilityItem, $powerToysItem)
+        New-WinUtilAppSearchContext -Categories @($category)
+
+        Find-AppsByNameOrDescription -SearchString "Utilities" -Category "Utilities"
+
+        $utilityItem.Visibility | Should -Be ([Windows.Visibility]::Visible)
+        $powerToysItem.Visibility | Should -Be ([Windows.Visibility]::Collapsed)
+        $category.Visibility | Should -Be ([Windows.Visibility]::Visible)
+    }
 }
 
 Describe "Find-TweaksByNameOrDescription" {