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