Add HostOptions.FriendlyGameName and set as SDL APP_NAME hint

osu.Framework/HostOptions.cs

@@ -33,5 +33,14 @@ public class HostOptions
         /// If the SDL_VIDEO_X11_NET_WM_BYPASS_COMPOSITOR environment variable is set, this property will have no effect.
         /// </remarks>
         public bool BypassCompositor { get; set; } = true;
+
+        /// <summary>
+        /// The friendly name of the game to be hosted. This is used to display the name to the user,
+        /// for example in the window title bar or in OS windows and prompts.
+        /// </summary>
+        /// <remarks>
+        /// If empty, GameHost will choose a default name based on the gameName.
+        /// </remarks>
+        public string FriendlyGameName { get; set; } = string.Empty;
     }
 }

osu.Framework/Platform/GameHost.cs

@@ -336,6 +336,11 @@ protected GameHost([NotNull] string gameName, [CanBeNull] HostOptions options =
         {
             Options = options ?? new HostOptions();
 
+            if (string.IsNullOrEmpty(Options.FriendlyGameName))
+            {
+                Options.FriendlyGameName = $@"osu!framework (running ""{gameName}"")";
+            }
+
             Name = gameName;
 
             JsonConvert.DefaultSettings = () => new JsonSerializerSettings

osu.Framework/Platform/SDL3GameHost.cs

@@ -11,6 +11,7 @@
 using osu.Framework.Input.Handlers.Tablet;
 using osu.Framework.Input.Handlers.Touch;
 using osu.Framework.Platform.SDL;
+using SDL;
 
 namespace osu.Framework.Platform
 {
@@ -21,6 +22,8 @@ public abstract class SDL3GameHost : GameHost
         protected SDL3GameHost(string gameName, HostOptions? options = null)
             : base(gameName, options)
         {
+            if (this is not HeadlessGameHost)
+                SDL3.SDL_SetHint(SDL3.SDL_HINT_APP_NAME, Options.FriendlyGameName);
         }
 
         protected override TextInputSource CreateTextInput()