So.

Following instructions from an Australian caterer's video (the only one with the camera pointing down at the meat so I could see what she was doing), I separated the flat of the brisket from the point, and took off a lot of the fat, concentrating on the big hard lumps that don't render out. Leaving a substantial quantity behind, I still removed about two kilos of fat from 6.5 kilos of brisket.

The two pieces -- flat and point -- are now in the freezer until the appropriate occasion comes up.

Meanwhile, in another part of the forest, I made a leek and potato soup (also contains celery, onion and carrot, so not canonical) using stock from a ham hock I cooked a couple of weeks ago to go with beans. With thyme, black pepper and a little allspice, the flavour is quite boffo.