looping through a custom post type and its taxonomy. showing results by taxonomy term

wordpress multiple loop - group results

<?php
  $custom_post_type = 'team_profiles;
  $tax_term = 'department';
  $terms = get_terms($tax_term);
  foreach($terms as $term) :
?>
  <h2><?= $term->name;?></h2>
    <?php
    $cat_posts_args = array(
      'post_type' => $custom_post_type,
      'posts_per_page' => -1,
      'tax_query' => array(
        array(
          'taxonomy' => $tax_term,
          'field' => 'id',
          'terms' => $term->term_id,
          'include_children' => false
        )
      )
    );
    $cat_posts = new WP_Query( $cat_posts_args );
    if ( $cat_posts->have_posts() ) :
  ?>
    <ul>
    <?php
      while ( $cat_posts->have_posts() ) : $cat_posts->the_post(); ?>
        <li>
          <?php the_title();?>
        </li>
      <?php endwhile;?>
    </ul>
  <?php endif;wp_reset_postdata();?>
<?php endforeach; ?>

this code will show this kind of result:

• CAT A
  • Item 1a
• CAT B
  • Item 2a
  • Item 2b