Hello,
You mean the network is not identified as the correct category (domain network, public network, private network), right?
If so, you don't need to worry. You can manually change the network category on Windows Server 2023.
On the server desktop, right-click the "Start" button and select "Settings" or press Win + I to open the "Settings" app.
Click "Network & Internet" -> "Status". You can see the currently active network adapter on the right side of the window. Click "Properties" on the network adapter you want to modify, and then you can determine the network profile for this network adapter.
You can also use PowerShell's Set-NetConnectionProfile command to change the type of network connection if the graphical interface does not have the Settings.