Restructured the project structure back to the way it was, there's no reasonable way to split the modules

src/NadekoBot/Modules/Searches/Search/Youtube/YtdlYoutubeSearchService.cs

@@ -0,0 +1,7 @@
+namespace NadekoBot.Modules.Searches.Youtube;
+
+public sealed class YtdlYoutubeSearchService : YoutubedlxServiceBase, INService
+{
+    public override async Task<VideoInfo?> SearchAsync(string query)
+        => await InternalGetInfoAsync(query, false);
+}