Insert widgets into loop/custom query at every nth position

If you can get an index of your post then utilize % for CTA breaks.

<?php

// Your CTA Content

$cta_array = array(
    "Some different content 1",
    "Some different content ABC",
    "Some different content XYZ",
);
$cta_inx = 0; // index
$cta_len = count($cta_array); // max
$cta_interval = 5; // breaks every x posts

// Query

$args = array(
    'posts_per_page'   => 25, 
    'post_type'        => 'post', 
    'post_status'      => 'publish',
    'suppress_filters' => true 
);

$posts_array = get_posts( $args );

// LOOP

?><div class="news_list"><?php // news_list START

foreach ($posts_array as $inx => $post ){

    // News Item
    ?><div class="news_item"><?php echo $post->post_title; ?></div><?php

        // CTA
        if( $inx && ! ( $inx % $cta_interval )) {

            if( $cta_inx == $cta_len) $cta_inx = 0; // reset the index

            ?><div class="cta_element" id="cta_<?php echo $cta_inx; ?>"><?php echo $cta_array[$cta_inx]; ?></div><?php

            $cta_inx ++; // advance the cta
        }
    } 
?></div><?php // news_list END

That should output:

> Post Title
> Post Title
> Post Title
> Post Title
> Post Title
Some different content 1
> Post Title
> Post Title
> Post Title
> Post Title
> Post Title
Some different content ABC
> Post Title
> Post Title
> Post Title
> Post Title
> Post Title
Some different content XYZ
> Post Title
> Post Title
> Post Title
> Post Title
> Post Title
Some different content 1
> Post Title
> Post Title
> Post Title
> Post Title
> Post Title
Some different content ABC
> Post Title
> Post Title
> Post Title
> Post Title
> Post Title
Some different content XYZ

error code: 523