Wp_query…a type of term a different div

The easiest way is to just create conditional statements checking for the term and wrapping it in a div of your choice.

After you loop starts you could do something like:

while ($list_query->have_posts()) : $list_query->the_post();

if( has_term( 'casegoods', 'tag-series' ) ) {
    echo '<div class="left-side">';
    the_content();
    echo '</div>';
} elseif ( has_term( 'casegoods', 'rugs' ) ) {
   // do something else
} //..etc