Return current post’s tags except a specific tag

I will use Bricks Builder and a code element but you can use your builder of choice and a code snippet plugin to make a short code and then embed as required.

<?php
// Get the current post ID
$post_id = get_the_ID();

// Get tags for the current post
$tags = get_the_tags($post_id);

// If there are tags
if ($tags) {
    // Iterate through each tag
    foreach ($tags as $tag) {
        // Check if the tag is not "ExcludeMe"
        if ($tag->name !== 'ExcludeMe') {
            // Output the tag name with a link to its archive page
            echo '<li><a href="' . get_tag_link($tag->term_id) . '">' . $tag->name . '</a></li>';
        }
    }
}
?>