Fitness

I'm running, doing core and arm workouts and eating well, and losing weight - but I can't seem to shift the belly fat.

Just to be unambiguous, the only thing really affecting your amount of belly fat is the amount of fat you lose. You can't spot reduce fat by doing core workouts. It's good for general health and fitness to work out, but training abs won't decrease belly fat at all - you need the calorie deficit for that (which you apparently do have, so that's good, and you should work out to make sure you don't lose 80% muscle weight but mostly fat).

Where you lose fat just depends on genetics. For me belly fat is some of the last fat to go when losing weight and some of the first to come back when gaining - results really tend to come in at the end of a cut.

dropped 4 kg, and gone from a 34 to a tight 32 on my pants (trousers)

Sounds like there's progress. If you want more, continue.