Example of how to skip the Advanced noCaptcha & invisible Captcha plugin from validating the recaptcha response on the EE login step as it is not included in the request and will always fail.

tw_ee_skip_recaptcha_verify_for_ee_login.php

<?php // Please do not include the opening PHP tag if you alread have one.

add_filter( 'anr_verify_captcha_pre', 'tw_ee_skip_recaptcha_verify_for_ee_login', 10, 2);
function tw_ee_skip_recaptcha_verify_for_ee_login($captcha_pre, $response) {
	if(
		class_exists('EE_Registry') 
		&& ( EE_Registry::instance()->REQ->get('step', '') === 'wpuser_login'
		|| EE_Registry::instance()->REQ->get('action', '') === 'ee_process_login_form' )
	) { 
	    return true;
	}
	return $captcha_pre;
}