Azure App Service has exception during snapshot upload and stops working correctly

Question

I have a Problem where a App Service is temporary unavailable. But its a bit special... The App is running but one task of the app is to send e mails via a Mail Provider - Mailgun. And from time to time it isn't sending mails. We have checked the mailgun and there is no problem and when I restart this App Service all mails are sent. So I search a lot and find a log from the snapshot uploader in the app service where an exception occurs approximately at the same time when the mail service is not working.

The Exception is the following:

SnapshotUploader.exe Error: 0 : Exception during dump processing: 

Microsoft.WindowsAzure.Storage.StorageException: The remote server returned an error: (503) Server Unavailable. ---> System.Net.WebException: The remote server returned an error: (503) Server Unavailable.
   at Microsoft.WindowsAzure.Storage.Shared.Protocol.HttpResponseParsers.ProcessExpectedStatusCodeNoException[T](HttpStatusCode expectedStatusCode, HttpStatusCode actualStatusCode, T retVal, StorageCommandBase`1 cmd, Exception ex)
   at Microsoft.WindowsAzure.Storage.Blob.CloudBlockBlob.<PutBlockImpl>b__5c(RESTCommand`1 cmd, HttpWebResponse resp, Exception ex, OperationContext ctx)
   at Microsoft.WindowsAzure.Storage.Core.Executor.Executor.EndGetResponse[T](IAsyncResult getResponseResult)
   --- End of inner exception stack trace ---

Server stack trace: 
   at Microsoft.WindowsAzure.Storage.Core.Util.StorageAsyncResult`1.End()
   at Microsoft.WindowsAzure.Storage.Blob.BlobWriteStream.EndWrite(IAsyncResult asyncResult)
   at System.IO.Compression.DeflateStream.WriteDeflaterOutput(Boolean isAsync)
   at System.IO.Compression.DeflateStream.InternalWrite(Byte[] array, Int32 offset, Int32 count, Boolean isAsync)
   at System.Runtime.Remoting.Messaging.StackBuilderSink._PrivateProcessMessage(IntPtr md, Object[] args, Object server, Object[]& outArgs)
   at System.Runtime.Remoting.Messaging.StackBuilderSink.AsyncProcessMessage(IMessage msg, IMessageSink replySink)

Exception rethrown at [0]: 
   at Microsoft.WindowsAzure.Storage.Blob.BlobWriteStream.Flush()
   at Microsoft.WindowsAzure.Storage.Blob.BlobWriteStream.Commit()
   at Microsoft.WindowsAzure.Storage.Blob.BlobWriteStream.Dispose(Boolean disposing)
   at System.IO.Stream.Close()
   at System.IO.Stream.Dispose()
   at Microsoft.ApplicationInsights.SnapshotCollector.Uploader.Uploader.<UploadFileToBlobCompressed>d__47.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at Microsoft.ApplicationInsights.SnapshotCollector.Uploader.Uploader.<UploadBlobWithRetriesAsync>d__46.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.ValidateEnd(Task task)
   at Microsoft.ApplicationInsights.SnapshotCollector.Uploader.Uploader.<UploadMinidumpAsync>d__41.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at Microsoft.ApplicationInsights.SnapshotCollector.Uploader.Uploader.<ProcessOneDumpFileAsync>d__23.MoveNext()
--- End of stack trace from previous location where exception was thrown ---
   at System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess(Task task)
   at System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification(Task task)
   at Microsoft.ApplicationInsights.SnapshotCollector.Uploader.Uploader.<RunMainLoopAsync>d__21.MoveNext()
Request Information
RequestID:da887501-801e-006f-3c95-121388000000
RequestDate:Wed, 26 Jan 2022 09:19:38 GMT
StatusMessage:Ingress is over the account limit.
ErrorCode:ServerBusy
ErrorMessage:Ingress is over the account limit.
RequestId:da887501-801e-006f-3c95-121388000000
Time:2022-01-26T09:19:38.4648110Z

Is it possible that this exception blocks the app service or something so it cant work correctly? And how can I fix this Exception?