Custom Post Pagignation Not working with short code

Hi,

I have created a custom post type

when i show my custom posts as a shortcode i’m not able to set there pagination.

I have tried below code

$paged = get_query_var('paged') ? get_query_var('paged') : 1;

$args = array('post_type' => 'perks','posts_per_page' => $posts_per_page,'paged' => $paged,'orderby' => $orderby,order' => $order,'s' => $search);
<?php while ($query->have_posts()) : $query->the_post(); ?>
                <div id="park-fullview" class="peksviewframe" data-id="<?php the_ID(); ?>">
                    <div class="perk-imgsec">
                        <?php 
                        $image = get_field('logo'); //acf field name
                        if (!empty($image)) : ?>
                            <img src="<?php echo esc_url($image['url']); ?>" alt="<?php echo esc_attr($image['alt']); ?>"/>
                        <?php endif; ?>
                    </div>
                    <h5 class="perks-coname"><?php the_field('company'); ?></h5>
                    <span class="offer-dashed-border"><?php the_field('your_offer'); ?></span>
                </div>
            <?php endwhile; wp_reset_postdata(); ?>
        </div>
        <div class="pagination-controls">
                <?php 
                echo paginate_links(array(
                    'total' => $query->max_num_pages,
                    'current' => $paged,
                    'format' => 'page/%#%',
                    'prev_text' => __('&laquo; Previous'),
                    'next_text' => __('Next &raquo;'),
                ));
                ?>
            </div>


    <?php else : ?>
        <p>No perks found.</p>
    <?php endif; ?>
</div>

Pagination pages are coming but when i click next not working,

On debug mode i see $paged value not changing. always showing 1 only.

Please help me.

thank you