Limit shared tag count to custom post type

<?php
//function to put inside of functions.php
function get_term_post_count_by_type($term,$taxonomy,$type){
    $args = array(
        'fields' =>'ids', //we don't really need all post data so just id wil do fine.
        'posts_per_page' => -1, //-1 to get all post
        'post_type' => $type,
        'tax_query' => array(
            array(
                'taxonomy' => $taxonomy,
                'field' => 'slug',
                'terms' => $term
            )
        )
     );
    $ps = get_posts( $args );
    if (count($ps) > 0){return count($ps);}else{return 0;}
}

//call it from the template like this, make sure to change the post type variable
$ptypes = array('projects'); //array with all of your post types
$tags = get_tags( array('order' => 'ASC') );
foreach ( (array) $tags as $tag ) { ?>
<li>
        <a href="<?php echo get_tag_link( $tag->term_id ) ?>">
            <span class="name"><?php echo $tag->name ?></span>
        <span class="number">
            <?php
                $count = 1;
                foreach($ptypes as $t){
                    echo get_term_post_count_by_type($tag,'post_tag',$t) . " " . $t;
                    if (count($ptypes) != $count){
                        echo " | ";
                        $count = $count + 1;
                    }
                }
            ?>
            </span>
    </a>
    </li>
<?php } ?>