Preheat the oven to 325°F (160°C). Line the bottom of an 8×8-inch pan with parchment paper and spray or lightly grease the sides.
Fill a medium pot about halfway with water and bring it to a boil. Place a heatproof bowl (glass or metal) over the pot to form a double boiler, making sure the bottom of the bowl does not touch the water.
Add the 4 tablespoons unsalted butter, 4 tablespoons avocado oil, and 1 cup sugar to the bowl. Whisk over the simmering water until the butter is fully melted and the mixture is uniform and slightly grainy.
Remove the bowl from the heat. Stir in the 1 teaspoon vanilla and 1/4 cup plain non-fat Greek yogurt until combined.
Add 3/4 cup all-purpose (or GF 1:1) flour, 1/2 cup unsweetened cocoa powder, 1 tablespoon cornstarch, 1/2 teaspoon baking soda, and 1/4 teaspoon salt. Stir gently just until the dry ingredients are incorporated and no large dry streaks remain.
Stir in the 2 tablespoons hot water. Then fold in the 1/4 cup mini semi-sweet chocolate chips, mixing as little as possible to avoid deflating the batter.
Pour the batter into the prepared pan and spread it evenly.
Bake for 35–40 minutes, until the top is set and slightly crackly (a toothpick inserted near the center should come out with a few moist crumbs).
Remove the pan from the oven and immediately place it on a heatproof pad or trivet, then transfer the pan to the refrigerator for 10 minutes to cool briefly.
Remove the pan from the refrigerator and let the brownies cool completely at room temperature before lifting out, slicing, and serving.