Adding Magento’s video functionality to dynamically loaded Fotorama gallery

I want a button that when clicked updates a product’s photo gallery to show the images and videos of a different product.

What I have so far works with creating a new gallery of images, but any videos lack the following features:

1. Automatically playing when you click them
2. The correct URL structure for Vimeo videos
3. The correct embed size on YouTube (the video does not match the placeholder)

These features seem to be added by Magento’s Product-Video module, specifically the fotorama-add-video-events.js functions. They don’t seem to be part of core Fotorama.

The format I am sending data is as follows:

{
  "thumb": "https://...",
  "img": "https://...",
  "full": "https://...",
  "caption": "Caption text",
  "position": "4",
  "isMain": false,
  "type": "video",
  "videoUrl": "https://www.youtube.com/watch?v=2PuFyjAs7JA",
  "mediaType": "external-video",
  "videoProvider": "youtube",
  "videoId": "2PuFyjAs7JA",
  "video": "https://www.youtube.com/watch?v=2PuFyjAs7JA"
}

And the code that runs to create a gallery is as follows

var $gallery = jQuery('[data-gallery-role="gallery-placeholder"]');
var galleryDataAttr = jQuery(this).attr('data-gallery-json');
var galleryApi = $gallery.data('gallery');

if (!galleryDataAttr) return;

var galleryData;
try {
    galleryData = JSON.parse(galleryDataAttr);
} catch(e) {
    console.error('Invalid gallery JSON', e);
    return;
}

if (!Array.isArray(galleryData) || galleryData.length === 0) return;

galleryApi.updateData(galleryData);

Any idea how you get this gallery to load with Magento’s video functionality in place?