Injecting content with $wp_query->current_post restarts from zero on paged pages. How to inject content after X posts, regardless of pagination?

I am creating a shortcode that outputs a custom loop. Within the loop while, I am injecting certain content after a particular post count. This is done by checking the current_post number. This particular function is quite long (and filled with commented-out code, from testing).

Here is a link to my current version (currently with ALL posts on a single page): https://gist.github.com/Garconis/c93ce89c3d378bfb7f5d8df97acbebc2

This works fine if/when ALL posts (posts_per_page = -1) are showing, but as soon as I add pagination (e.g., set posts_per_page = 5, the injected content is starting from a count of 0 on each new page.

How can I update this, to be able to inject my specific content after X posts, without the count starting over with each new page?

Bare bones of what I have:

?php
// create shortcode to list all Featured Itineraries
add_shortcode( 'fs_burn_homepage_loop','fs_all_featured_itineraries_shortcode' );
function fs_all_featured_itineraries_shortcode( $atts ) {
ob_start();
// Query posts from the database.
$options = array(
    // Arguments for your query.
    'post_type'         = array('post', 'ajde_events'),
    'posts_per_page'    = 5,
    'paged'             = 1,
);

/* To get the Easy Load More plugin to work */
if ( get_query_var( 'paged' ) ) { 
    $options['paged'] = get_query_var( 'paged' ); 
} 
elseif ( get_query_var( 'page' ) ) { 
    $options['paged'] = get_query_var( 'page' ); 
} else { 
    $options['paged'] = 1; 
}

$query = new WP_Query( $options );
// Check that we have query results
if ( $query-have_posts() ) {

    // we have posts, so lets wrap them
    echo'div id="fs-homepage-loop" class="fs-all-posts"';

        // Start looping over the query results.
        while ( $query-have_posts() ) {

            // Set up post data.
            $query-the_post(); 

            echo 'article id="post-'. get_the_ID() .'" class="fs-post-article '. join( ' ', get_post_class() ) .'"
                div class="fs-post-content-wrapper"
                    div class="fs-post-name"
                        h2 class="entry-title"a href="'. get_permalink(); .'"'. get_the_title() .'/a/h2
                    /div
                /div
            /article';

            // inject stuff after X posts
            if( ($query-current_post == 3) ) {
                echo 'article class="fs-post-article"
                    div class="fs-post-content-wrapper"
                        content after post 4 is here
                    /div
                /article';
            }
            if( ($query-current_post == 9) ) {
                echo 'article class="fs-post-article"
                    div class="fs-post-content-wrapper"
                        content after post 10 is here
                    /div
                /article';
            }

        // close the loop WHILE
        }

        wp_reset_postdata();

    // close post wrapper
    echo '/div';

    //function for the Easy Load More plugin
    load_more_button();

    $myvariable = ob_get_clean();

    return $myvariable;

// close the query IF
}
// ELSE it cant find ANY posts that match
else {
    echo 'div class="fs-no-posts-found"h4We currently have no stories to show you./h4/div';
// close the query ELSE */
}
}

Would it be as simple as somehow checking the current_post count AND the page number of the pagination? Since I supposedly know how many posts would show per page...