Poached pear cake with chai-spiced buttercream and salted caramel drizzle

Name: Poached pear cake with chai-spiced buttercream and salted caramel drizzle
Prep time: 40 min
Cook time: 55 min
Total time: 1 h 35 min
Cuisine: European, British
Ingredients: 250g unsalted butter, diced; 2 chai-spiced tea bags; 250g icing sugar; Splash whole milk, if needed; 75g caster sugar; 60ml double cream; 10g unsalted butter; Large pinch sea salt flakes; 4 ripe conference pears, peeled, cored and quartered; Pared zest and juice ½ lemon; 200g caster sugar; 250g unsalted butter, at room temperature; 250g caster sugar; 3 large free-range eggs, lightly beaten; 250g self-raising flour; ½ tsp baking powder; Deep 23cm diameter cake tin, greased and base-lined with non-stick baking paper