Preheat the oven to 180°C / Fan 160°C/Gas 4. Line a baking sheet with baking parchment.
Bring a medium saucepan of water to the boil and add a pinch of salt. Blanch the cabbage leaves for 1 minute then drain and pat dry with kitchen paper.
Oil 2 teacups and line each with clingfilm, then line each with a cabbage leaf. Layer up the grouse meat and pâté in alternate layers in the cups, seasoning each layer. Fold the cabbage over the top to form parcels.
Unroll the pastry on a board, then use a 12-cm round cutter to stamp out 2 circles from the pastry. Use a 16-cm round cutter to stamp out 2 more. Place the smaller circles onto the lined baking sheet and top with the cabbage parcels, then cover each dome with the larger pastry
circles. Press down to secure the edges – you can use the smaller cutter to do this, which will both seal the pastry edges together and neaten it. Brush all over with the beaten egg, then bake for 18–20 minutes. Remove from the oven and let rest for 3–4 minutes.
While the pies are baking, make the sauce. Pour the stock into a small pan and add the butter. Bring to the boil, then simmer until reduced by half and season well.
To make the purée, put the brambles/blackberries in a pan with 1 tablespoon of water. Bring to the boil over a medium heat, then add the xanthan gum and whiz with a hand-held stick blender to make a purée. Spoon into a squeezy bottle or a piping bag.
To serve, snip the end of the piping bag, if using, and pipe a small circle of bramble purée onto your serving plates. Cut each pithivier in half and sit either side of the purée, then spoon over the sauce.