I can see it now without the cache plugin.
But the background-video class has been removed from the <video> tag, can you make sure the HTML code for the video is:
<video loop="" muted="" autoplay="" playsinline="" class="background-video">
<source src="/wp-content/uploads/2022/06/video-loop-web-061422.mp4" type="video/mp4">
</video>
Let me know!