Else does not work

Hello. I have a website where I have inserted the google recaptcha. The captcha works correctly, however, I can not display an error if the message is sent. The "successfully sent message" notification is displayed normally, but the "NOT sent message" notification does not appear at all. However, the rest works normally, the message is only sent if the captcha is filled. The only problem is notification of not sent.

Follow the code

                    <div class="row">
                    <!--=== Contact Form ===-->
                    <form id="contact-form" class="col-sm-8 col-sm-offset-2" method="post" novalidate>
                        <div class="form-group">
                            <label class="control-label" for="contact-name">Nome</label>
                            <div class="controls">
                                <input id="contact-name" name="nome" placeholder="Seu nome" class="form-control requiredField" type="text" data-error-empty="Por favor entre com seu nome">
                            </div>
                        </div><!-- End name input -->

                        <div class="form-group">
                            <label class="control-label" for="contact-mail">Email</label>
                            <div class=" controls">
                                <input id="contact-mail" name="email" placeholder="Seu email" class="form-control requiredField" type="email" data-error-empty="Por favor entre com seu email" data-error-invalid="Invalid email address">
                            </div>
                        </div><!-- End email input -->

                        <div class="form-group">
                            <label class="control-label" for="contact-message">Mensagem</label>
                            <div class="controls">
                                <textarea id="contact-message" name="mensagem"  placeholder="Sua mensagem" class="form-control requiredField" rows="8" data-error-empty="Por favor entre com seu mensagem"></textarea>
                            </div>
                        </div><!-- End textarea -->
            <div class="g-recaptcha" data-sitekey="6LcvSg8UAAAAAAsOYcKHl2mxO_Uq-e7e9X58sc_I"></div>
                        <p class="text-center"><button name="submit" type="submit" class="btn btn-quattro" data-error-message="Error!" data-sending-message="Enviando..." data-ok-message="Mensagem Enviada"><i class="fa fa-paper-plane"></i><?= $modulo9->modulo9_button ?></button></p>
                        <input type="hidden" name="submitted" id="submitted" value="true" />

                    </form><!-- End contact-form -->
                    <?php
                    if (isset($_POST['email']) && !empty($_POST['g-recaptcha-response']) && !empty($_POST['email'])) {
                        require_once  'sendmail.php';
                        if ($mail->Send()) {
                            echo "<p class='alert alert-success' id='msg_alert'> <strong>Obrigado !</strong> Seu e-mail foi entregue.</p>";
                        } else {
                            echo "<p class='alert alert-success' id='msg_alert'> <strong>Obrigado !</strong> Seu e-mail NÃO foi entregue.</p>";
                        }
                    }
                    ?> 
                </div>
            </div>
        </section>
    <?php endif; ?>

Thank you in advance.

The error is now another, the error message is displayed all the time, it only disappears when the email is sent, where it gives place to the message of success in sending. It's the only problem now. This message only needs to be hidden by default and display only when the else is called, but is displaying all the time.

What I'm using is:

    <?php
    require_once  'sendmail.php';
    if (isset($_POST['email']) && !empty($_POST['g-recaptcha-response']) && !empty($_POST['email'])  && $mail->Send()) {
        echo "<p class='alert alert-success' id='msg_alert'> <strong>Obrigado !</strong> Seu e-mail foi entregue.</p>";
    } else {
        echo "<p class='alert alert-danger' id='msg_alert'> <strong>Email não enviado.</strong> Verifique o Captcha e os outros campos.</p>";
    }
?> 

The library is phpmailer

The sendmail.php:

<?php
        require_once './loader.php';
        require_once './plugin/email/email.php';
        global $mail;
        $smtp = new Smtpr();
        $smtp->getSmtp();
        $mail->Port = $smtp->smtp_port;
        $mail->Host = $smtp->smtp_host;
        $mail->Username = $smtp->smtp_username;
        $mail->From = $smtp->smtp_username;
        $mail->Password = $smtp->smtp_password;
        $mail->FromName = $smtp->smtp_fromname;
        $mail->Subject = utf8_decode("Contato Via Site " . $site->site_meta_titulo);
        $mail->AddBCC($smtp->smtp_bcc);
        $mail->AddAddress($smtp->smtp_username);

        $data = date('d/m/Y H:i');
        $nome = $_POST['nome'];
        $email = $_POST['email'];
        $mensagem = $_POST['mensagem'];

        $mail->AddReplyTo($email);
        $body = "<b>Data da Mensagem: </b> $data <br />";
        $body .= "<b>Nome:</b> $nome <br />";
        $body .= "<b>E-mail:</b> $email <br />";
        $body .= "<b>Mensagem: </b>$mensagem <br />";
        $mail->Body = nl2br($body);
        //$mail->Send();
    ?>