01 - Preheat the oven to 375°F. Roll out the pastry to fit a 9-inch tart tin, press into the tin, trim any excess and prick the base with a fork. Chill in the refrigerator for 10 minutes.
02 - Line the pastry with parchment paper and fill with baking beans. Bake for 15 minutes, then remove the beans and parchment and bake for an additional 5 minutes until lightly golden. Set aside to cool.
03 - Heat olive oil and butter in a large skillet over medium-low heat. Add sliced onions, sugar, salt, and pepper. Cook, stirring frequently, for 20 to 25 minutes until onions are soft and golden. Stir in thyme leaves and cook for 2 more minutes. Remove from heat and let cool slightly.
04 - In a bowl, whisk together eggs, double cream, whole milk, ground nutmeg, salt, and pepper until well combined.
05 - Evenly spread the caramelized onions over the tart base. Scatter crumbled goat cheese on top. Pour the egg mixture over the filling.
06 - Bake in the preheated oven for 25 to 30 minutes, or until the filling is set and golden brown. Allow to cool for 10 minutes before slicing.
07 - Optionally, garnish with extra thyme sprigs and fresh arugula. Serve warm or at room temperature.