Insert image between X number of posts but on specific paginated pages?

Had to use Modulo to calculate the paginated pages. Working code snippet below shows the image after every 5th post on every 3rd page (page 3, 6, 9, etc.)

<?php
if ($count == 5 && is_paged() && get_query_var('paged') && $paged % 3 == 0 ) {
echo '<center>IMAGE GOES HERE</center>';
}
else {
echo ''; }
?>
<?php $count++; ?>

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