Add this code in HTML widget to randomize the ‘Media Carousel’ order.

<script>
(function(){
let parent = document.querySelector('.elementor-widget-media-carousel .swiper-wrapper');
let images = parent.children;
let frag = document.createDocumentFragment();
while (images.length) {
frag.appendChild(images[Math.floor(Math.random() * images.length)]);
}
parent.appendChild(frag);
}());
</script>