ADSI Query Results in Duplicate SIDs for Active Directory Groups

I'm using a modified version of the function located here to get the SIDs of the members of the local Administrators group. I would use Get-LocalGroupMember if I could, but I need to use ADSI because I need access to the SIDs when Active Directory is not reachable (there's an issue with the cmdlet if only a SID is present).

The issue is that if there's 2 AD groups with the same name, but in different domains, they appear to have the same SID, which is not the case in reality. Here's an example:

How can this be resolved? Below is the function I'm using:

Function Get-LocalGroupMembers  {

[Cmdletbinding()] 
Param( 
    [Parameter(Mandatory=$true)]
    [string]$GroupName
)

[adsi]$adsiGroup = "WinNT://$($env:COMPUTERNAME)/$GroupName,group"

$adsiGroup.Invoke('Members') | ForEach-Object{

    $username = $_.GetType().InvokeMember('Name','GetProperty',$null,$_,$null)
    $path = $_.GetType().InvokeMember('AdsPath','GetProperty',$null,$_,$null).Replace('WinNT://','')
    $class = $_.GetType().InvokeMember('Class','GetProperty',$null,$_,$null)
    $userObj = New-Object System.Security.Principal.NTAccount($username)
    
    try{
        $sid = $userObj.Translate([System.Security.Principal.SecurityIdentifier])
    }catch{
        $sid = $userObj
    }
    [pscustomobject]@{
        Username = $username
        Type = $class
        SID = $sid
        Path = $path
    }

}   
}

@Scepticalist had the solution and this is the modified function that now works as expected

Function Get-LocalGroupMembers  {

[Cmdletbinding()] 
Param( 
    [Parameter(Mandatory=$true)]
    [string]$GroupName
)

[adsi]$adsiGroup = "WinNT://$($env:COMPUTERNAME)/$GroupName,group"

$Members = @()

$adsiGroup.Invoke('Members') | ForEach-Object{

    $username = $_.GetType().InvokeMember('Name','GetProperty',$null,$_,$null)
    $path = $_.GetType().InvokeMember('AdsPath','GetProperty',$null,$_,$null).Replace('WinNT://','')
    $class = $_.GetType().InvokeMember('Class','GetProperty',$null,$_,$null)
    $userObj = $null
    
    if ($path -notlike "*S-1-5*"){ #If the path does not contain a SID, then AD is reachable and we can translate successfully
        $Parts = $path.Split("/") 
        <#
            $Parts can look like:
            Local Account  - Domain, ComputerName, AccountName 
            Domain Account - Domain, AccountName 
        #>
        $Domain = $Parts[0]

        if ($Parts[1] -eq $env:COMPUTERNAME){ #Based on above comment, if arg 2 is the ComputerName, it's a local account
            $userObj = New-Object System.Security.Principal.NTAccount($username)

        }else{#Otherwise it's a domain account and we need to translate using the domain
            $userObj = New-Object System.Security.Principal.NTAccount($Domain, $username)
        }
        $sid = $userObj.Translate([System.Security.Principal.SecurityIdentifier])
    }else{ #Otherwise SID is the username since AD is not reachable
        $sid = $username
    }

    $Members += [pscustomobject]@{
        Username = $username
        Type = $class
        SID = $sid
        Path = $path
    }
}   
return $Members
}