SharePoint .NET client object model against load balanced servers

This, I found nowhere on the net the solution, and so nearly given up.

For the SharePoint client object model, the sample code are available everywhere on the net e.g. https://docs.microsoft.com/en-us/sharepoint/dev/sp-add-ins/complete-basic-operations-using-sharepoint-client-library-code. None worked for me. The error was “(401) Unauthorized”. The problem was that as you know, even though the servers, a SharePoint farm in this case, are loaded balanced with whatever actual software and/or hardware in use to do so, to perform operations only the authorized users can perform, you need to interact with a single server. There seem, however, no documentation available (I was not able to find at least) explaining how to achieve this.

And so this is how I made it work. Bear in mind that I am not from Microsoft or anything, not an authority, so cannot guarantee you that this is the way to go.

and then

What I expect with this was to accept the load balancer issuing sticky cookie and send it back with the subsequent requests. And it seems do the trick.

Hope this helps you.