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Heat the oil in a casserole over a medium-high heat and fry the beef mince until browned all over – you may need to do this in batches. Transfer the browned mince to a bowl using a slotted spoon. Add the chorizo to the pan and brown all over for a few minutes, then add to the bowl with the mince.
Add the onions and peppers to the pan and fry over a medium heat until the onions are golden and the peppers are soft, about 15 mins. Add the chillies, garlic, cumin and cinnamon, and cook for another couple of minutes.
Return the beef and chorizo to the pan, then tip in the canned tomatoes, drained black beans, stock and tomato purée. Bring to just under the boil, then reduce the heat to a simmer. Add the sugar, lime juice and some seasoning. Cover slightly, leaving just a little opening on one side for steam to escape, and cook for 50 mins, stirring occasionally. In the last 10 mins of cooking time, stir in the coriander and hot sauce, and a little more seasoning. The chilli should be thick but not dry – if it’s too dry, splash in some water. Spoon into a roughly 1.5-litre pie dish or deep baking dish. Heat the oven to 200C/180C fan/gas 6.
To make the cornbread topping, mix together the cornmeal or polenta, flour, a large pinch of salt, the sugar, chillies, spring onions and coriander. Mix the milk, butter and eggs together in a jug. Pour the wet ingredients over the dry, then add the sweetcorn and cheese. Stir until just combined, being careful not to overmix, then spoon in dollops over the surface of the chilli. At this stage, the pie can be frozen. Leave to cool completely first, then wrap in a layer of baking parchment followed by a double layer of foil. Will keep in the freezer for up to two months.
Bake for 25 mins until a skewer inserted into the cornbread (being careful not to go through to the chilli) comes out clean. To bake from frozen, heat the oven to 200C/180C fan/gas 6. Unwrap the pie and bake for 1 hr-1 hr 10 mins, or until the filling is piping hot and the topping is cooked through. If the top starts to get too dark, cover with foil.
When you’re almost ready to serve, put the avocado in a serving bowl, squeeze over the lime juice, then add the coriander leaves and gently toss together. Serve alongside the pie with some soured cream or Greek yogurt, if you like.