Warm up a mixing bowl by swirling with boiling water and emptying.
Whisk together yeast, sugar, and water, then cover in a warm place for 10 minutes to allow the yeast to start to ferment.
Beat in the eggs and flour, and cover with cling wrap and place in a warm place for 1 hour (I like to turn the oven on low and place the bowl on the open oven door).
An hour later, once risen, mix in the dough ingredients- strong bread flour, butter, sugar, mixed spice, salt and lemon juice.
Knead to get a smooth dough, then cover again with the cling wrap and place back in a warm place for almost two hours.
Punch in the dough, then form the dough into small orange size. Place on a baking paper lined baking tray, cover with cling wrap and set aside in the warm spot to rise again.
Preheat the oven to 220C/425F and bake for ~20 minutes until golden brown.
While baking, in a small saucepan, stir together the extra sugar and water until it becomes a thick syrup.
When the bath buns are removed from the oven, spoon over the sugar syrup and sprinkle the caraway seed comfits on top.