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you can alter that via PowerShell - look at the PublishedName attribute on the Delivery Group - can be a PITA on migrations!

It has been a while for me but also had this with static desktop pools etc. see Notes from the field: XenDesktop RemotePC and Multi Licensing – The IT Stories (technicalfellow.com), skip the multi licensing part.

The command looks similar to: Set-BrokerPrivateDesktop <domain>\<computerName> -PublishedName "Windows Desktop"

Awesome, thanks guys!