Great!
Oh I didn’t realize there was another search bar. In that case I see you are trying to make a custom results page via this tutorial.
From the page source it seems that the element type is incorrect, make sure to use the Posts widget and not the Archive posts widget.
I also advice agains using the “load more” feature if you notice any weirdness with it. Elementor may not be happy about trying to override the posts, however the pagination should still work just fine.