Cloudflare Stream - output to your domain instead of videodelivery.net?

Hello experts,

I have a domain and static website that is hosted in Cloudflare CDN and updated by Git. When I upload a file to Cloudflare Stream, it gives me the URL below that I would like to host on mydomain.com/video. I know you can create a static page and add the frame to your site, but wanted to automate it if possible.

Has anyone worked with this or come up with a solution? It would be awesome if this was a feature released in the future, to have it availble on your domain that is hosted in Cloudflare to avoid the additional work.

https://watch.videodelivery.net/456353a90f504d2caad5XXXXXXXXXXXX