Videos on most sites make use of progressive downloading, which means that the video is downloaded to my computer, and easy to trace. There are lots of extensions out there
Copy and paste one of the .ts video files into a new tab in Chrome. Remove the identifying number of the .ts file (0,1,2,3 etc. or whatever number it is) and change the extension from ".ts" to ".mp4". That should bring up the video file in your browser as usual.