Enable sentry caching to avoid sentry writing outside of game directory

See #31412. Probably safe enough.

osu.Game/OsuGame.cs

@@ -233,8 +233,6 @@ public OsuGame(string[] args = null)
 
             forwardGeneralLogsToNotifications();
             forwardTabletLogsToNotifications();
-
-            SentryLogger = new SentryLogger(this);
         }
 
         #region IOverlayManager
@@ -320,6 +318,12 @@ protected override IReadOnlyDependencyContainer CreateChildDependencies(IReadOnl
         private readonly List<string> dragDropFiles = new List<string>();
         private ScheduledDelegate dragDropImportSchedule;
 
+        public override void SetupLogging(Storage gameStorage, Storage cacheStorage)
+        {
+            base.SetupLogging(gameStorage, cacheStorage);
+            SentryLogger = new SentryLogger(this, cacheStorage);
+        }
+
         public override void SetHost(GameHost host)
         {
             base.SetHost(host);

osu.Game/Utils/SentryLogger.cs

@@ -11,6 +11,7 @@
 using osu.Framework.Bindables;
 using osu.Framework.Configuration;
 using osu.Framework.Logging;
+using osu.Framework.Platform;
 using osu.Framework.Statistics;
 using osu.Game.Beatmaps;
 using osu.Game.Configuration;
@@ -36,7 +37,7 @@ public class SentryLogger : IDisposable
 
         private readonly OsuGame game;
 
-        public SentryLogger(OsuGame game)
+        public SentryLogger(OsuGame game, Storage? storage = null)
         {
             this.game = game;
 
@@ -49,6 +50,7 @@ public SentryLogger(OsuGame game)
                 options.AutoSessionTracking = true;
                 options.IsEnvironmentUser = false;
                 options.IsGlobalModeEnabled = true;
+                options.CacheDirectoryPath = storage?.GetFullPath(string.Empty);
                 // The reported release needs to match version as reported to Sentry in .github/workflows/sentry-release.yml
                 options.Release = $"osu@{game.Version.Replace($@"-{OsuGameBase.BUILD_SUFFIX}", string.Empty)}";
             });