Hi @Mar!
Thanks for getting in touch - this is a great question! Octopus can run fine on Windows Server Core, in fact, we do it internally on many systems!
There’s not really a lot of Octopus-specific advantages/disadvantages to running on Core, just the dis/advantages of the product itself (reduced resource usage/lack of GUI).
I recently made up a quick PowerShell command stack to get up and running on Windows Core, which should get you up to speed quickly. You can find the thread here.
Hope this helps!