1. Preheat oven to 375°F. Line a metal loaf pan with parchment paper.

2. In a skillet over medium heat, melt butter. Add apples, brown sugar, cinnamon, and salt. Cook 4–5 minutes until just tender. Let cool.

3. Roll chilled dough to just under 1/4 inch thick on a lightly floured surface.

4. Spread apple mixture evenly in center third of dough. Fold like a letter: left over center, then right over that.

5. Carefully place folded pastry into the prepared loaf pan, seam-side down. Brush top with beaten egg.

6. Sprinkle turbinado sugar over top. Bake for 35–40 minutes, rotating halfway through. Tent with foil if browning too quickly.

7. Check for doneness: top should be golden brown and edges puffed. A tap should sound crisp.

8. Let kringle rest in pan for 10 minutes, then lift out to cool slightly on a wire rack.

9. While warm, whisk powdered sugar, cream, and vanilla bean paste until smooth. Drizzle over kringle.

10. Slice and serve warm, or cool completely and store as directed.