Idea for a fix to the Add New Users Error: Fill out Recaptcha form (doesnt show)

When a normal (site NOT super) admin tries to add a user in WordPress Multisite, a message comes up stating that you need to fill out a recaptcha page. However no recaptcha shows, and why would you need to, when you are an admin and doing so in the administrative dashboard?

I found this discussion which explains how to determine the php page you are on. So looking in the recaptcha.php code, there is a section where the author intended to add a check, to see if you were on the Add New Users Page, and then skip validation. This never got added.

I have an idea, but as I am a bad coder, i am getting it wrong, and it causes the Add New User page to blank out…

So looking at recaptcha.php:

function validate_recaptcha_response_wpmu($result) {
            // must make a check here, otherwise the wp-admin/user-new.php script will keep trying to call
            // this function despite not having called do_action('signup_extra_fields'), so the recaptcha
            // field was never shown. this way it won't validate if it's called in the admin interface

            if (!$this->is_authority()) {
                // blogname in 2.6, blog_id prior to that
                // todo: why is this done?
                if (isset($_POST['blog_id']) || isset($_POST['blogname']))
                    return $result;

                // no text entered
                if (empty($_POST['recaptcha_response_field']) || $_POST['recaptcha_response_field'] == '') {
                    $result['errors']->add('blank_captcha', $this->options['no_response_error']);
                    return $result;
                }

                $response = recaptcha_check_answer($this->options['private_key'], $_SERVER['REMOTE_ADDR'], $_POST['recaptcha_challenge_field'], $_POST['recaptcha_response_field']);

At this point I thought about placing code like this here, but obviously am a bad coder and can’t get this to work. Any ideas?

if basename (($_SERVER["PHP_SELF"]) = "user-new.php")
				{
					$response = is_valid;
				}

Now the code continues on to check whether the response was valid or not. Was hoping to hardcode it as valid, if the page filename was user-new.php…

// response is bad, add incorrect response error
                // todo: why echo the error here? wpmu specific?
                if (!$response->is_valid)
                    if ($response->error == 'incorrect-captcha-sol') {
                        $result['errors']->add('captcha_wrong', $this->options['incorrect_response_error']);
                        echo '<div class="error">' . $this->options['incorrect_response_error'] . '</div>';
                    }

                return $result;
            }
        }