Address code review feedback: fix typo, improve recursion, add serialization

Co-authored-by: YunchuWang <[email protected]>

Author: Copilot

src/Abstractions/DurableTaskCoreExceptionsExtensions.cs

@@ -54,7 +54,7 @@ static class DurableTaskCoreExceptionsExtensions
             failureDetails.ErrorType,
             failureDetails.ErrorMessage,
             failureDetails.StackTrace,
-            failureDetails.InnerFailure?.ToTaskFailureDetails(actualException),
+            failureDetails.InnerFailure?.ToTaskFailureDetails(actualException?.InnerException),
             failureDetails.Properties)
         {
             OriginalException = actualException,

src/Abstractions/TaskFailureDetails.cs

@@ -182,7 +182,7 @@ internal CoreFailureDetails ToCoreFailureDetails()
             };
         }
 
-        // might need to udpate this later
+        // might need to update this later
         return new TaskFailureDetails(
             exception.GetType().ToString(),
             exception.Message,

test/Grpc.IntegrationTests/OrchestrationErrorHandling.cs

@@ -974,6 +974,13 @@ public ApiException(int statusCode, string message)
         protected ApiException(SerializationInfo info, StreamingContext context)
             : base(info, context)
         {
+            this.StatusCode = info.GetInt32(nameof(this.StatusCode));
+        }
+
+        public override void GetObjectData(SerializationInfo info, StreamingContext context)
+        {
+            base.GetObjectData(info, context);
+            info.AddValue(nameof(this.StatusCode), this.StatusCode);
         }
 #pragma warning restore SYSLIB0051
     }