Add failing test showing double filter on entering song select

osu.Game.Tests/Visual/SongSelectV2/BeatmapCarouselTestScene.cs

@@ -356,7 +356,7 @@ namespace osu.Game.Tests.Visual.SongSelectV2
                                 """);
             createHeader("carousel");
             stats.AddParagraph($"""
-                                sorting: {Carousel.IsFiltering}
+                                filtering: {Carousel.IsFiltering} (total {Carousel.FilterCount} times)
                                 tracked: {Carousel.ItemsTracked}
                                 displayable: {Carousel.DisplayableItems}
                                 displayed: {Carousel.VisibleItems}

osu.Game.Tests/Visual/SongSelectV2/TestSceneSongSelect.cs

@@ -78,6 +78,15 @@ namespace osu.Game.Tests.Visual.SongSelectV2
             AddUntilStep("wait for results screen", () => Stack.CurrentScreen is ResultsScreen);
         }
 
+        [Test]
+        public void TestSingleFilterWhenEntering()
+        {
+            ImportBeatmapForRuleset(0);
+            LoadSongSelect();
+
+            AddAssert("single filter", () => Carousel.FilterCount, () => Is.EqualTo(1));
+        }
+
         [Test]
         public void TestCookieDoesNothingIfNothingSelected()
         {

osu.Game/Graphics/Carousel/Carousel.cs

@@ -71,6 +71,11 @@ namespace osu.Game.Graphics.Carousel
         /// </summary>
         public bool IsFiltering => !filterTask.IsCompleted;
 
+        /// <summary>
+        /// The number of times filter operations have been triggered.
+        /// </summary>
+        internal int FilterCount { get; private set; }
+
         /// <summary>
         /// The number of displayable items currently being tracked (before filtering).
         /// </summary>
@@ -187,6 +192,8 @@ namespace osu.Game.Graphics.Carousel
         /// <param name="clearExistingPanels">Whether all existing drawable panels should be reset post filter.</param>
         protected virtual Task<IEnumerable<CarouselItem>> FilterAsync(bool clearExistingPanels = false)
         {
+            FilterCount++;
+
             if (clearExistingPanels)
                 filterReusesPanels.Invalidate();