TAdvDropBox fails after two file uploads

Sorry about that empty message - web app failed.

So it continues to fail in the TAdvCustomDropBox.UploadInt function, specifically line 1260:

  resdat := string(HttpsPut(url, ExtractFilePath(FileName), ExtractFileName(FileName), headers, '', hcPost));

The parameters being passed into HttpsPut make sense, but it just fails.  More precisely, in my Service app, this line works the first two times, then fails the third time; in the CloudStorageDemo, this line always works.  The time it takes increases with the size of the file, and it appears that HttpsPut does not return until the request is complete; therefore, a tight loop of calls to TAdvCustomDropBox.Upload seems a valid use case - I've demonstrated that with my hacked CloudStorageDemo.

So is it being a Service that is the problem here?  What else can I try?  Help, please!