Jquery ajax – Input text with autocomplete – Uncaught TypeError: $.ajax is not a function in PHP, MySQL and jQuery

I’m trying to do a autocomplete text input in jQuery with user information from database in PHP and MySQL.
I’m getting the following error:

Uncaught TypeError: $.ajax is not a function
at HTMLInputElement.<anonymous> (file.php:332)
at HTMLInputElement.dispatch (jquery-3.3.1.slim.min.js:2)
at HTMLInputElement.v.handle (jquery-3.3.1.slim.min.js:2)

I import jQuery on header.php that is included in all pages:

<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.4.1/jquery.min.js"></script>

This is my file.php which is the file with the script and the input, I’ll leave just a part of the code, of course the input is inside a form

<input type="text" name="autor" id="autor" placeholder="Escreve o nome do autor" />
<div id="autorLista"></div>

<script>
    $(document).ready(function() {
        $('#autor').keyup(function() {
            var query = $(this).val();;
            console.log(query);

            if (query != '') {
                $.ajax({
                    url: "./components/search.php",
                    method: "POST",
                    data: {
                        query: query
                    },
                    success: function(data) {
                        $('#autorLista').fadeIn();
                        $('#autorLista').html(data);
                    }
                });
            }
        });

        $(document).on('click', 'li', function() {
            $('#autor').val($(this).text());
            $('#autorLista').fadeOut();
        });
    });
</script>

I don’t even know if php code is working correctly but I think it is. I’ll leave it below (search.php):

<?php

if (isset($_POST['query'])) {
    $link = new_db_connection();
    $stmt = mysqli_stmt_init($link);

    $output = '';

    $query = "SELECT id_user, nome_user FROM users WHERE nome_user LIKE ?";

    if (mysqli_stmt_prepare($stmt, $query)) {
        $output = "<ul>";

        if (mysqli_stmt_num_rows($stmt) > 0) {
            mysqli_stmt_bind_param($stmt, 's', $nome_user);

            mysqli_stmt_execute($stmt);

            mysqli_stmt_bind_result($stmt, $id_user, $nome_user);

            if (mysqli_stmt_fetch($stmt)) {
                $output .= "<li>" . $nome_user . "</li>";
            }
        } else {
            $output = '<li>O utilizador que procura não existe.</li>';
        }
        $output .= "</ul>";
        echo $output;
    } else {
        echo 'erro';
    }
}

I’ve tried changing versions of jquery, checked the slim version, etc and nothing makes this work… Any idea, please? Any doubts or if I wasn’t clear, just tell me please. Thank you!