Smoky, Cheesy Tortellini in Chicken Soup

1.5 cups flour, plus more for dusting 4 eggs, room temperature; 2 whole, 2 yolks 1 Tbsp olive oil, plus more for frying sage kosher salt 2 strips of smoked bacon 1 shallot, minced 1 tsp fresh thyme leaves 1/4 cup white wine 3/4 cup ricotta 1/2 cup shredded mozzarella 1/4 cup shredded gruyere 1…