How to pull library location of files using PowerShell

I have a script that outputs checked out files in csv format below:

Add-PSSnapin microsoft.sharepoint.powershell
$url = "http://contoso.com/sites/Depts3/KDS"
$site = New-Object Microsoft.SharePoint.SPSite($url)
$web = $site.OpenWeb()
function GetCheckedOutFiles($web)
{
Write-Host "Processing Web: $($web.Url)..."
        foreach ($list in ($web.Lists | ? {$_ -is [Microsoft.SharePoint.SPDocumentLibrary]})) {
            Write-Host "`tProcessing List: $($list.RootFolder.ServerRelativeUrl)..."
            foreach ($item in $list.CheckedOutFiles) {
                $modifiedTime = $web.RegionalSettings.TimeZone
                if (!$item.Url.EndsWith(".aspx")) { continue }
                $data = @{
                    "URL"=$web.Site.MakeFullUrl("$($web.ServerRelativeUrl.TrimEnd('/'))/$($item.Url)");
                     "Version" = $item["Version"]
                     "Title" = $item.Title
                     "CheckedOut By" = $item.File.CheckedOutBy.Name
                     "Time last Modified" = $modifiedTime.UTCToLocalTime($item.File.TimeLastModified)
                }
                New-Object PSObject -Property $data
            }
            foreach ($item in $list.Items) {

                $modifiedTime = $web.RegionalSettings.TimeZone

                if ($item.File.CheckOutStatus -ne "None") {
                    if (($list.CheckedOutFiles | where {$_.ListItemId -eq $item.ID}) -ne $null) { continue }

                    $wuse = $item.DirName.Substring($web.ServerRelativeUrl.Length)
                    $data = @{
                        "URL"=$web.Site.MakeFullUrl("$($web.ServerRelativeUrl.TrimEnd('/'))/$($item.Url)");
                        "Version" = $item["Version"]
                        "library" = $wuse
                        "Title" = $item.File.Name
                        "CheckedOut By" = $item.File.CheckedOutBy.Name
                        "Time last Modified" = $modifiedTime.UTCToLocalTime($item.File.TimeLastModified)
                    }
                    New-Object PSObject -Property $data
                }
            }

        }
foreach($subWeb in $web.Webs)
{
GetCheckedOutFiles($subweb)
}
        $web.Dispose()
}



Get-DocInventory | Out-GridView
GetCheckedOutFiles($web) | Export-Csv -NoTypeInformation -Path C:\NewDocInventory.csv

The output of the script is as shows below

My problem is that in the column library, I'm having trouble grabbing the document library of where these files come from. For example, the library column should display RP1MajorVersions for the output shown in the image. I have the line $wuse = $item.DirName.Substring($web.ServerRelativeUrl.Length) which should represent the Library and the line "library" = $wuse should output correctly but I have no luck. I don't need links I just need someone to show me a line of code that would work with the script I have attached.