Lugg, go to the video and click on that little right-pointing arrow in the bottom right of the black field surrounding the video. A new window will open with a shareable url. Copy that url and paste it in the Insert Video pop-up here (the one you get when you click on this button.
The good news is that Support replied. The bad news is that no dice.
The Insert Video button currently does not support Flickr video embeds. You'll have to post the video as a direct link or host the video through one of our supported video sites that are listed when clicking Insert Video. Sorry.