Oven-Dried Tomato Tart with Goat Cheese and Black Olives

Garlic cloves, small

Thyme, fresh

Eggs, large

Black olives, oil-cured pitted

Olive oil, extra-virgin

sheet Puff pastry, frozen

Goat cheese, soft fresh

Parmesan cheese

Whipping cream

Whole-milk mozzarella cheese

Medium tomatoes or large romas, cored, halved crosswise, seeded