Apple and cinnamon hot cross buns

Buns

• 170 g unsalted butter, room temperature, plus extra to grease
• 100 g dried apple
• ½ orange, peel only, no white pith
• 240 g milk
• 10 g dried instant yeast
• 60 g sugar
• 580 g plain flour, plus extra to dust
• 2 eggs
• 3 tsp ground cinnamon
• ½ tsp ground cloves
• 2 tsp nutmeg
• 2 tsp salt

Custard piping mixture

• ½ lemon, peel only, no white pith (optional)
• 20 g sugar
• 20 g cornflour
• 1 egg
• 250 g apple juice

Apple sugar syrup

• 250 g apple juice
• 20 g sugar
• unsalted butter, to serve