Okay, I think I figured it out.
I adapted this code presented here straight from https://codex.www.ads-software.com/The_Loop
Step 2. The second loop, get the X latest posts (except one).
The following code gets X recent posts (as defined in WordPress preferences) save the one already displayed from the first loop and displays them according to Do stuff.
<?php if (have_posts()) : while (have_posts()) : the_post();
if( $post->ID == $do_not_duplicate ) continue; update_post_caches($posts); ?>
<!– Do stuff… –>
<?php endwhile; endif; ?>
——————————————–
This will keep the random post from being the same as at least one other from the loop. *I think*
I wonder why no one wants to help me?
Maybe this will help someone else….