Addon Module - How Call Template from Output Function

[NutterChen]

I have tried using in function addonmodule_output($vars)

        return array(
            'pagetitle' => 'Sample Addon Module',
            'breadcrumb' => array(
                'index.php?m=addonmodule' => 'Sample Addon Module',
            ),
            'templatefile' => 'publicpage',
            'requirelogin' => false, // Set true to restrict access to authenticated client users
            'forcessl' => false, // Deprecated as of Version 7.0. Requests will always use SSL if available.
            'vars' => array(
                'modulelink' => $modulelink,
                'configTextField' => $configTextField,
                'customVariable' => 'your own content goes here',
            ),
        );

But alas, it doesn't work