Looking into upgrading our RTwebparts, Sharepoint installation, system requirement states Windows Server 2012
I believe, that answer for your questions is posted here:
PI WebParts 2013 SP3 with Sharepoint 2013 and Window Server 2016
"As far as the OS is concerned, PI Webparts 2013 SP3 was released before Windows Server 2016. I am not aware of any incompatibility issues reported so far !"
It has not been tested since Windows Server 2016 came out after the latest PI WebParts release. I would suggest testing it in a development environment before implementing in production.
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