In a separate bowl, whisk together the glutinous rice flour, cornstarch, white sugar, and milk until the batter is completely smooth with no lumps.
Pour the batter through a fine-mesh strainer directly into a non-stick frying pan to ensure an ultra-smooth dough.
Add the butter to the pan. Turn the heat to low and begin cooking the mixture, stirring constantly with a spatula.
Continue to cook and stir until the mixture suddenly comes together into a solid, cohesive ball of dough that pulls away cleanly from the sides of the pan. This is the most important step.
Transfer the hot dough ball to a clean surface. Add the 3 drops of red velvet liquid and knead it into the dough.
Let the dough cool until it's safe to handle, then begin stretching and folding it repeatedly. Continue this process for a few minutes until the dough becomes very smooth, elastic, and no longer breaks when you pull it.