hello,
just add the @@SERVERNAME
SELECT
s.server_name as ServerName,
ssg.name as GroupName
FROM [msdb].[dbo].[sysmanagement_shared_registered_servers_internal] s
INNER JOIN [msdb].[dbo].[sysmanagement_shared_server_groups] ssg
ON s.server_group_id = ssg.server_group_id
UNION
SELECT @@SERVERNAME, 'Sql Server'