Hello,
Thank you for posting in Microsoft Community forum.
Based on the description, I understand your question is related to BSOD when installing update.
Try run below commands to help fix:
net stop wuauserv
net stop cryptsvc
net stop bits
net stop msiserver
ren C:\Windows\SoftwareDistribution SoftwareDistribution.old
ren C: \Windows\System32\catroot2 Catroot2.old
net start wuauserv
net start cryptsvc
net start bits
net start msiserver
Close Command Prompt and reboot your PC.
Then, instead of installing KB5048671, there is a newly released update for server 2016 in January, try install KB5049993:
January 14, 2025—KB5049993 (OS Build 14393.7699) - Microsoft Support
Have a nice day.
Best Regards,
Molly