Share public photos exposed to an API?

I'm collaborating on a project with someone that's sharing photos of their work on Instagram. They're out in the field delivering goods to hospitals, and they share the good work via Instagram.

I'd want to embed a real time feed of those photos in a static site built from Hugo or Jekyll, but it appears Instagram does not offer such capabilities. According to their docs, you can only embedd a single post. I've looked at a few alternatives like Google Photos, but it requires OAuth authentication, which isn't realistic for a CI build process. More developer friendly alternatives like Cloudinary are great, except it's not simple for business to upload photos from their phone like it is to use Instagram or iCloud shared albums.

I'm looking for a service that's easy for business to use like "share with Instagram" or iCloud shared albums, but just as easy for developers to consume via APIs with a reliable CDN like Cloudflare. For example, curl https://service.domain/albums/<album-name-or-tag>/photos would return a list of photo URLs hosted on service.domain delivered by their CDN so that I could build a static site with those URLs in a CI build process.

I feel like I might be trying to solve for the wrong problem. Anybody have any recommendations or suggestions?