normally what I do is uninstall the existing ADK, restart the server, then install the latest applicable ADK, but it all depends on what version of ADK you have installed, and whether it's compatible with 2103 or not
here's the list of supported ADK's
https://docs.microsoft.com/en-us/mem/configmgr/core/plan-design/configs/support-for-windows-10#windows-10-adk