HI OgeidiusW,
0.What's the model of your issue printer?
1."I created a new Group Policy to deploy the printers to specific computers in our domain"
There are 4 group policies, Which printer policy did you set?
If you are using user policy to deploy specified printer to target computer, could you please check if the same issue happen when you use computer policy to deploy printer.
Computer policy
computer Configuration\Policies\windows settings\deployed printers
computer Configuration\preferences\control pannel settings\printers
User policy
user Configuration\Policies\windows settings\deployed printers
user Configuration\preferences\control pannel settings\printers
2.There is a good printer server and printer deploy video for your reference.
Did you configure printer policy and printer server like that?
https://www.youtube.com/watch?v=QUGzZXPya5U
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