See if this works any better:
$Source_Folder = 'C:\T'
$rootfolder = split-path $Source_Folder -Leaf # get just the source folders name for use later
$h = Get-ChildItem $Source_Folder -Dir -depth 3 # no need to go deeper than 3 levels
$Groups = $h | Group-Object -Property Parent # group the Level 3 directories into a group named by their parent directory
ForEach($L2group in $Groups){
if ($L2group.Name -eq $rootfolder){
continue # Skip the source folder
}
ForEach($L3directory in $L2group.Group){
Rename-Item $L3directory.fullname -NewName ("{0}___{1}" -f $L2group.Name,$L3directory.Name) -Whatif
}
}