After looking up several tutorials (cleaning the rubber ring in the base of the dual flush system, adjusting the overflow pipe, etc.) I've realised the problem is the water isn't shutting off when the ball is in the rest position. I was surprised when dinking about to find the water stops when the ball is half way up. After coming back a bit later, it was all the way up and the water was still pouring into the overflow pipe, despite me adjusting it up.
I've identified that pipe that's perpendicular to the thicker white main pipe is the issue. Or maybe the tube that comes out of it, specifically.
The thin plastic tube part seems to still be leaking out water. I'm not sure exactly which part along this chain is broken or needs replacing (and even less sure what it would be called or where to get the part in the UK)
Anyone able to offer some assistence on this issue? I'd very much like to stop wasting water literally down the drain.