I own a spider that even as an adult has and will do this when overly excited or stressed. You do what you want but if it were me I would put it in the least stressful environment I could and let it recover.

I watched your video and have had this happen with mine and he is still around and eating well and now that I have him an ideal environment, he does not do this. If he ever did again I would not even consider putting him down, I would simply leave him be.

That video is not showing anything to me but stress.