Preheat oven to 375 °F (190 °C).
Flour workbench or surface, and roll out the divided, chilled dough into a 14" (35cm) circle. It will be thin, about 1/8" to 1/4". It doesn't have to be a perfect circle, just round-ish
Line a half-sheet pan with parchment paper.
Carefully transfer the dough onto a rolling pin, and then into pan on parchment paper.
(For sweet) In the middle 25 cm/10 inches (leave outer 2-4 inches plain), sprinkle brown sugar lightly.
Zest lemon and sprinkle into middle evenly.
If adding nuts, sprinkle crushed nuts into middle evenly.
Slice larger fruit and add all fruit to the middle 10 inches.
Fold outer ring of dough inward towards the center. Carefully fold and repair any tears in the dough (they will leak).
(For savory) Brush olive oil generously onto outer crust.
(For sweet) Beat egg, and brush generously onto outer crust.
(For sweet) Sprinkle raw sugar on top of crust.
(For sweet) Transfer to a sheet pan.
Bake 40 to 45 minutes, or until crust is golden brown and filling is bubbling.
Let cool initially, but serve warm. Keeps in refrigerator 3 days or in freezer up to a month.