Hello Sebastian,
Thank you for reaching out, and I am happy to help!
Can you please try to change line 69 in the W3 Total Cache files – /wp-content/plugins/w3-total-cache/Cache_File_Generic.php live 69 from:
$tmppath = $path . '.' . getmypid();
to
$tmppath = $path . '.' . \getmypid();
Save the file and reload the plugin in the dashboard
Let me know if this helps!
Thanks!