Dear Lazyweb, how do I post a video to a Facebook page via the API?

Since the recent unpleasantness with the Facebook app private key, I can no longer post video to a page that I manage. Posting images to

https://graph.facebook.com/page_id/photos?access_token=...

works fine but posting videos to

https://graph-video.facebook.com/v2.7/page_id/videos?access_token=...

gets all the way to the end of the chunked upload and then returns the error, "Application does not have the capability to make this API call".

What permissions does my app need to have set in order to make this work? I believe I have both user_photos and user_videos set.

Apparently you need a special dispensation to get publish_pages permission, but when I requested it, they just said, "Your app doesn't need to submit for manage_pages to post to Pages or blogs that you admin." But they won't answer when I ask what permission I do need.

Update: I figured it out. It turns out that you get a 400 error if your video post has a "place" set. That used to work, and still works on photos, but on videos it causes the post to fail.