These three files should go in a child theme of the WP Advocate theme if using the People Profile CPT to show individual People Category taxonomy archive pages

content-taxonomy-head.php

<article id="post-<?php the_ID(); ?>" <?php post_class(); ?>>
	
	<header class="entry-header clearfix">
		<h1 class="entry-title"><?php echo single_term_title(); ?></h1>
	</header><!-- .entry-header -->

	<?php
	$term_description = term_description();
	if( $term_description ) : ?>
		<div class="entry-content post-content">
			<?php echo $term_description; ?>
			<?php wp_link_pages( array( 'before' => '<div class="page-link">' . __( 'Pages:', 'wp-advocate' ), 'after' => '</div>' ) ); ?>
		</div><!-- .entry-content -->
	<?php endif; ?>
	
</article><!-- #post-<?php the_ID(); ?> -->

functions.php

<?php
// modify people profile cpt "People Category" taxonomy to show up in People posts table
// and be at example.org/people/{people_category} instead of example.org/people_category/{people_category}
function wpa_modify_people_category_taxonomy() {
	// get the arguments of the already-registered taxonomy
	$people_category_args = get_taxonomy( 'people_category' ); // returns an object

	// make changes to the args
	// in this example there are three changes
	// again, note that it's an object
	$people_category_args->show_admin_column = true;
	$people_category_args->rewrite['slug'] = 'people';
	$people_category_args->rewrite['with_front'] = false;

	// re-register the taxonomy
	register_taxonomy( 'people_category', 'people', (array) $people_category_args );
}
// hook it up to 11 so that it overrides the original register_taxonomy function
add_action( 'init', 'wpa_modify_people_category_taxonomy', 11 );

taxonomy-people_category.php

<?php get_header(); ?>

    <?php
		if (get_theme_mod('wp_advocate_intro_bg')) {
			$intro_class = 'intro-copy-box-wrap-nobg';
		} else {
			$intro_class = 'intro-copy-box-wrap';
		}
	?>
    <div class="<?php echo $intro_class; ?>">
      <div class="intro-copy-box">
        <?php
        	get_template_part( 'content', 'taxonomy-head' );
        ?>
      </div>
    </div>    

    <div id="content" class="people-main clearfix">
        
        <div id="main" class="clearfix" role="main">
        <?php if (post_type_exists('people')) : ?>
        	<?php 
				if ( get_query_var('paged') ) {
                        $paged = get_query_var('paged');
                } elseif ( get_query_var('page') ) {
                        $paged = get_query_var('page');
                } else {
                        $paged = 1;
                }
			?>
            
			<?php if ( have_posts() ) : ?>
            	<div id="grid-wrap" class="clearfix">
				<?php /* Start the Loop */ ?>
				<?php while ( have_posts() ) : the_post(); ?>
				  	<div class="grid-box">
                    
					<?php
						/* Include the Post-Format-specific template for the content.
						 * If you want to overload this in a child theme then include a file
						 * called content-___.php (where ___ is the Post Format name) and that will be used instead.
						 */
						get_template_part( 'content', 'people' );
					?>
				  	</div>
				<?php endwhile; ?>
                
                </div>

				<?php if (function_exists("wp_advocate_pagination")) {
							wp_advocate_pagination(); 
				} elseif (function_exists("wp_advocate_content_nav")) { 
							wp_advocate_content_nav( 'nav-below' );
				}?>
                
                <?php wp_reset_postdata(); ?>

			<?php else : ?>

				<article id="post-0" class="post no-results not-found">
					<header class="entry-header">
						<h1 class="entry-title"><?php _e( 'No People Found!', 'wp-advocate' ); ?></h1>
					</header><!-- .entry-header -->
					<div class="noimg"></div>
                    <div class="entry-content post-content">
						<p><?php _e( 'It seems we can&rsquo;t find what you&rsquo;re looking for. Perhaps searching can help.', 'wp-advocate' ); ?></p>
						<?php get_search_form(); ?>
					</div><!-- .entry-content -->
				</article><!-- #post-0 -->

			<?php endif; ?>
            
        <?php else : ?>
        
        	<article id="post-0" class="post no-results not-found">
                <header class="entry-header">
                    <h1 class="entry-title"><?php _e( 'No People Found!', 'wp-advocate' ); ?></h1>
                </header><!-- .entry-header -->
				<div class="noimg"></div>
                <div class="entry-content post-content">
                    <p><?php _e( 'Please make sure that the WP advocate People CPT Plugin is installed and activated.', 'wp-advocate' ); ?></p>
                </div><!-- .entry-content -->
            </article><!-- #post-0 -->
        
        <?php endif; ?>

        </div> <!-- end #main -->

        <?php // get_sidebar(); ?>

    </div> <!-- end #content -->
        
<?php get_footer(); ?>