Sync eng/common directory with azure-sdk-tools for PR 7113 (#37166)

* Remove ARM deployment after deploy

* Update eng/common/TestResources/New-TestResources.ps1

Co-authored-by: Heath Stewart <heaths@outlook.com>

* Apply suggestions from code review

---------

Co-authored-by: Ben Broderick Phillips <bebroder@microsoft.com>
Co-authored-by: Heath Stewart <heaths@outlook.com>

eng/common/TestResources/New-TestResources.ps1

@@ -771,7 +771,6 @@ try {
                     -TemplateParameterObject $templateFileParameters `
                     -Force:$Force
         }
-
         if ($deployment.ProvisioningState -ne 'Succeeded') {
             Write-Host "Deployment '$($deployment.DeploymentName)' has state '$($deployment.ProvisioningState)' with CorrelationId '$($deployment.CorrelationId)'. Exiting..."
             Write-Host @'
@@ -803,6 +802,9 @@ try {
             Write-Verbose "Removing compiled bicep file $($templateFile.jsonFilePath)"
             Remove-Item $templateFile.jsonFilePath
         }
+
+        Write-Host "Deleting ARM deployment as it may contain secrets. Deployed resources will not be affected."
+        $null = $deployment | Remove-AzResourceGroupDeployment
     }
 
 } finally {