[ADSI] Local Groups Users, Users Type, etc ...

I'm having an emergency for a compliance audit they want to know who has access to a list of servers.

I found some scripts which help, but unfortunately it doesn't go as far as I need.

I need to list all the local groups, and users of a server. That what the script below does pretty well:

$server = "." # servername to query
$computer = [ADSI]"WinNT://$server,computer"

$list=@()

$computer.psbase.children | where { $_.psbase.schemaClassName -eq 'group' } | foreach {
    $group =[ADSI]$_.psbase.Path
    $group.psbase.Invoke("Members") | foreach {
		$us = $_.GetType().InvokeMember("Name", 'GetProperty', $null, $_, $null)
		$list += new-object psobject -property @{Group = $group.Name;User=$us}
	}
}

$list |ft -a 

What I would like to know, is the type of each group members. So if a member is a user, I would like to see the "JohnDoe (User)", and if it is a Group I would like to see "Group1 (Group)"

What would be also nice, is to recursively expand all the groups.

Here is an output example that I would like to get

TIA