you can try this adding new class in a second recaptcha loader button then you bind event on that class with click event and again clone your node and also used setTimeout function which will wait for redraw captcha Hope this will help you
setTimeout(function() {
$( "#resumator-recaptcha #recaptcha_widget_div #recaptcha_reload_btn " ).addClass("reload_captcha");
$(document).on('click', '.reload_captcha', function(e){
$('#resumator-recaptcha-label').html($('#resumator-recaptcha_forward').clone(true,true));
$( "#resumator-recaptcha #recaptcha_widget_div #recaptcha_reload_btn " ).addClass("reload_captcha");
});
}, 2000);