Hi Antauris,
I was able to reproduce the issue but there is nothing we can do.
As you said in your comment, it is simply an issue with the video file itself (the way it was created/compiled, its settings, codec, etc.)
The video file cannot be played on its own as well (out of the website/template/particle). Here, have a look at
this video, it shows what I mean.
Just see what is different between the working and the not working video file. Make sure you compile/record/save the not working video with the same settings as the working one. You might also want to Google the error message and see what comes up (
No video with supported format and mime type found).