Programmatically delete the contents of SharePoint 2013 recycle bin - powershell

Question

Scenario:
Client would like a PowerShell script wrote to delete the 2nd stage recycle bin for a SharePoint 2013 Site Collection
Client's SharePoint requires a credential authorization on load.
Issue:
I have researched, however in regards to SharePoint 2013, I have yet to find a script example that involves using my credentials. However in the SharePoint Online examples for programmatically deleting a SP recycle bin they use credential authorization.
My attempts to splice these two scripts together have been met with no success.
Question: Would somone be able to assist me by taking a look at my code and letting me know where I am going wrong?
##Variables for Processing
$SiteUrl = "https://MySite/sites/site"
Try {
#Setup the context
$Context = New-Object Microsoft.SharePoint.Client.ClientContext($SiteUrl)
$Context.Credentials = $Credentials
#Get the recycle bin
$Site = $Context.Site
$RecycleBinItems = $Site.RecycleBin
$Context.Load($Site)
$Context.Load($RecycleBinItems)
$Context.ExecuteQuery()
Write-Host "Total Number of Items found Recycle Bin:" $RecycleBinItems.Count
#sharepoint online powershell empty recycle bin
$RecycleBinItems.DeleteAll()
$Context.ExecuteQuery()
}
catch {
write-host "Error: $($_.Exception.Message)" -foregroundcolor Red
}