Potato Focaccia

Ingredients

• 1 medium Yukon Gold potato
• 2 cups all-purpose flour (, plus more as needed)
• 1 teaspoon fresh yeast
• A pinch of sugar
• 1 1/2 teaspoons salt (, plus more for salting water)
• 2/3 cup warm water
• 3 tablespoons extra-virgin olive oil
• 1/2 pint of cherry or grape tomatoes (, sliced crosswise)
• 1 to 2 teaspoons dried oregano
• Coarse sea salt