Assuming my Mac is already in the correct domain or workgroup, how would I browse the network neighborhood it belongs to? Is there a utility (3rd-party, perhaps) for that?
Apple - Connect your Mac to shared computers and servers https://support.apple.com/guide/mac-help/connect-mac-shared-computers-servers-mchlp1140/mac
“Connect to a computer or server by browsing
On your Mac, click the Finder icon in the Dock to open a Finder window, then click Network in the Locations section of the sidebar.
If no items appear in the Locations section of the sidebar, hold the pointer over the word Locations, then click the arrow"