How can the code be modified to ensure that the $_width_max_ variable is properly updated when clicking on a link?

The issue can be solved by updating the $_width_max_ variable when clicking on a link. This can be achieved by using JavaScript to send an AJAX request to the server, where the server-side script will update the $_width_max_ variable and send back the updated value to the client. The client-side script can then update the $_width_max_ variable with the new value.

<?php
// Server-side script to update $_width_max_ variable
if(isset($_POST['new_width_max'])) {
    $new_width_max = $_POST['new_width_max'];
    $_width_max_ = $new_width_max;
    echo $new_width_max;
    exit;
}
?>

<!DOCTYPE html>
<html>
<head>
    <title>Update $_width_max_ Variable</title>
    <script src="https://code.jquery.com/jquery-3.6.0.min.js"></script>
</head>
<body>
    <a href="#" id="updateLink">Update $_width_max_</a>
    <script>
        $(document).ready(function() {
            $('#updateLink').click(function(e) {
                e.preventDefault();
                $.ajax({
                    type: 'POST',
                    url: 'update_width_max.php',
                    data: { new_width_max: 'new_value_here' },
                    success: function(response) {
                        $_width_max_ = response;
                        console.log('$_width_max_ updated to ' + $_width_max_);
                    }
                });
            });
        });
    </script>
</body>
</html>