Hi,
Besides of the Central administration, you shall also consider followings when deploy multi server with multi-sites:
1.Stable WAN/VPN to support successful print jobs when connecting to print servers
2.The number of printers in each office/site
3.Frequency of each sites will use the printers and printer servers
4.The Capacity of the printer sever.
Reference links:
Print Server Scalability and Capacity Planning
This describe the contributing factors that will impact performance of printer servers like hardware specifications, network latency, and the content of the print job.
https://learn.microsoft.com/en-us/previous-versions/windows/it-pro/windows-server-2012-r2-and-2012/dn554243(v=ws.11)
Multi-server and multi-site deployments
In the bottom of this article, it compared the benefits and considerations for each printer server deployment plan.
https://www.papercut.com/support/resources/manuals/ng-mf/common/topics/multi-site-and-wan.html
Please note: Information posted in the given link is hosted by a third party. Microsoft does not guarantee the accuracy and effectiveness of information.
Hope this helps and please help to accept as Answer if the response is useful.
Thanks,
Jenny