Both videos work; the first one doesn't want to be embedded, so you just need to click on the title to go to its Youtube page.
I don't think Constance's video loop has been leaked yet. The only reason Leota and the singing busts are circling the net is because they were originally on 16mm film loops, which wear out over time, and Disney employees somehow got their hands on the old loops when they were periodically replaced. The new bride is all digital, so unless WDI intentionally makes it available, I don't think you'll be finding it any time soon.
My suggestion to you is to find a good copy of the audio and make the video loop yourself. You'll need some compositing software to make it really good, but a decent image can be made if you are very careful on set.