Many thanks for all replies.
Yes, CSS Bungee is exactly what is broken - didn't know the proper name before. Unfortunately I don't know the proper naming as I'm fairly new to this awesome sport, so I will try to give more details/ask questions providing more description.
My bar looks like the one on this picture below. The broken line is circled in blue, pretty much at the point where it broke as well. I knew I had a spare in my backpack, however not sure how to feed it through the black, plastic release mechanism - do I open it and feed it in any special way? Is there a technique of feeding it without opening the black mechanism ?
Hoping to do some kiting tomorrow, so will be fixing in the morning
Again thanks for help!!