To proof the yeast, in a bowl, combine the warm water, yeast, and sugar. Whisk together and let sit for 10 minutes, or until foamy. If the mixture does not foam, the yeast may be expired.
To make the rice flour mixture, in a large bowl, whisk together the rice flour and 1 cup of water until smooth. Set aside.
To make the sugar syrup, in a small pot over medium heat, combine the remaining ¾ cup of water and the sugar. Stir until the sugar dissolves and bring to a boil.
To combine the batter, slowly pour the hot sugar syrup into the rice flour mixture, whisking constantly until smooth. Let the batter cool to about 100°F before adding the yeast.
To add the yeast, stir the proofed yeast mixture into the cooled batter until fully combined. Cover the bowl.
To ferment the batter, place it in a warm environment for about 1 hour, or until large bubbles form on the surface. To create a warm environment, preheat the oven to its lowest setting for 1 minute, then turn it off. Place a pot of boiling water on the bottom rack and the covered batter on the middle rack. Close the oven door.
To prepare the pan, brush a 9-inch round cake pan or another heatproof container with the avocado oil.
To finish the batter, whisk the baking powder into the fermented batter until evenly combined.
To steam the cake, bring a large steamer to a boil over high heat. Pour the batter into the prepared pan and place it in the steamer. Cover and steam for 25 minutes, maintaining a steady boil throughout.
To cool the cake, turn off the heat and let it rest in the steamer for 5 minutes before uncovering. Remove the pan and let the cake cool for another 15 minutes. Unmold, slice, and serve.