How to disable network discovery (Windows 2008)?

• Windows 2008 server.

To perform this task, you need to have :

• Knowledge in accessing the server via Remote Desktop.
• IP address or server hostname.
• Your server Remote desktop username and password.

Above all, Network discovery is a network setting that affects whether your computer can see (find) other computers and devices and whether other computers can see your computer.

There are three states:

On

This state allows your computer to see other network computers and devices and allows people on other network computers to see your computer. This makes it easier to share files and printers.

Off

Besides that, This state prevents your computer from accessing other network computers and devices and prevents people on other network computers from accessing your computer.

Custom

This is a mixed state in which some settings related to network discovery are enabled, but not all of them.For example, it may be switched on, however you or your system administrator may have disabled a firewall exception that affects network discovery.

It requires that the dnscache, fdrespub, ssdpsrv, and upnphost services are started, that the Windows Firewall exception is enabled, and that other firewalls are not interfering with it.If any but not all of these are correct, the  status will be displayed as Custom.

1.  Firstly,  Go to Start > Control Panel > Network and Internet > Network and Sharing Center > Change advanced sharing settings. Or you can right-click on network icon on the right-bottom side of the screen, click Open Network and Sharing Center. 

Then, click Change advanced sharing settings.

2.    However ,There are 3 different network profiles Home or Work, Public and Domain. To prevents people on other network computers from seeing your computer all the time. Please turn off Network discovery service on all profiles.

After that, Press small triangle button next to the selected network provide to expand the options.

3.    Lastly, Click Save changes to apply the changes.

Please refer to the following article to know more. 
Knowledge Base: Disable Enhanced Security Configuration for Internet Explorer in Windows Server 2019/2016