Hello Dan,
Thanks for getting in touch! Let me try to help you with that.
Try copying this snippet into your theme’s functions.php file, this should stop the generation of the structured data of the events.
add_filter( 'tribe_json_ld_markup', '__return_empty_string' );
Note that this will remove the structured data for all events on every page, so you might want to tweak that to fire only on the pages you need.
It might also happen though that Google is clever enough to still parse the data or it leaks out elsewhere. If you continue to hit issues after some time has passed we can try to take another look.
I also see that you are using a caching plugin, so after entering the data in Yoast and / or adding that snippet you will need to empty your cache. And it will also take google some time (dunno exactly but it could be a week) to re-index your page. You might know this already, I thought I would share just in case.
Let me know if that helps.
Cheers,
Andras