I’m not certain if it is possible to use Brightcove video with Apple News. You cannot use the Embedded Web Video component, because it only supports YouTube and Vimeo. You would need to use the standard Video component, and you would need to get the direct URL to the properly formatted streaming file from Brightcove in order to connect the two. There is not default support for Brightcove built into the plugin, so you would need to do some custom coding to get this to work. One place to start would be our list of action and filter hooks, to determine where to override default plugin settings: https://github.com/alleyinteractive/apple-news/wiki/Action-and-Filter-Hooks
In particular, you will need to treat the Brightcove video embeds as regular Video components: https://github.com/alleyinteractive/apple-news/blob/master/includes/apple-exporter/components/class-video.php
This generally should be possible using the apple_news_exporter_content_pre filter by replacing the Brightcove embed with a VIDEO tag with the src parameter set to the properly formatted video file served from Brightcove.
More info on the Video component in Apple News format, including the recommendation to use HLS format: https://developer.apple.com/documentation/apple_news/video