How can I make a looped animated drawing of a Chinese character from Hanzi Writer to use on Chinese.SE?

Hanzi Writer makes beautiful animations for Chinese characters. They look like the following (but animated):

These animations would be useful at Chinese.SE for questions about handwriting, but Chinese.SE doesn't accept javascript. To give a concrete example, for the question Why does my handwritten 尽 look so ugly? I'd like an animated 尽.

I asked on meta.Chinese.SE about this and Don Kirkby whipped up an example on meta.SE. There's also Hanzi Writer a demo site and its possible to link to specific characters drawn by Hanzi Writer (as above, with 尽).

Question: How can I make a looped animated drawing of a Chinese character from Hanzi Writer to use on Chinese.SE?

I feel like there should be some way to do this, perhaps just a workaround.

Update: Using screen recording software, I managed to create an animation:

It's a bit of a hack, though, and loses some quality.