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<?php
    $args = array(
        'post_type' => 'branch',
        'numberposts' => -1,
        'order' => 'ASC',
        'orderby' => 'meta_value',
        'meta_key' => 'state',
    );
 
    $branch_posts = get_posts($args);
    foreach($branch_posts as $post) :
    setup_postdata( $post );
                       
?>
   
    <?php
        // Only show posts with the 'State' custom field
        if (get_field('state')) {
       
            // Set the state of this post
            $current_state = get_field('state');
 
            // If this post doesn't have the same 'State' as the last one, let's give this one a heading and open the <ul>
            if ($current_state != $previous_state) {
               
            // $previous_state isn't set until the end of this foreach, so the first one doesn't have this variable
            // If this isn't the first list, close the last list's <ul>
            if ($previous_state) { echo '</ul>'; }
        ?>
           
            <h1><strong><?php echo $current_state; ?></strong></h1>
            <ul>
               
        <?php } ?>
       
                <li><a href="<?php the_permalink() ?>"><?php the_title(); ?></a></li>                      
                   
        <?php
            // Remember, we closed the <ul> before the <li>'s, clever huh?
           
            // Set the 'State' of the this post, to compare to the next post
            $previous_state = get_field('state');
    } ?>
<?php endforeach; wp_reset_postdata(); ?>
</ul>