Clean up the $Server name in the log file - Powershell

Greetings Experts!  As I continue my path towards a script to monitor my backups, I need this script to pull the log files from servers that have the log files in different directories.  The standard hadn't been set yet.  I figured out how to pull the log files in from the other directories however how can I clean-up the $server name in log file?

$ServerList = 'w2k8sentry01\c$\path\to\file', 'w2k12share01\c$\path\to\file', 'mgt01\e$\path\to\file'

$Pattern = (Get-Date (Get-Date).AddDays(-1) -f 'MM\/dd\/yyyy') + ' * --- SCHEDULEREC STATUS BEGIN*'
$in = $false
$ServerList | ForEach-Object {
	$Server = $_
	"========== $($Server) ============================================================"
	Switch -Wildcard (Get-Content -Path "\\$($Server)") {
		$Pattern					{$in = $true}
		'*SCHEDULEREC STATUS END*'	{$in = $false}
		default						{If ($in) {$_}}
	}
} | Set-Content -Path C:\tools\logs\new_test3.log

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[log file]
MGT01\long file name\
w2k8sentry01\long file name\
w2k12share01\long file name\

Thanks for your continued help with this script!