Preheat the oven to 350 degrees fahrenheit (177 degrees celsius). Line 3 baking sheets with parchment paper. In a medium-sized bowl, whisk the GF flour, cocoa powder, baking soda, baking powder, and salt together. Pour the sugar and brown sugar into the thickened flax/water mixture and beat on high (using the paddle attachment) until combined. Add the soft butter and beat on high until there are no large chunks. Add 1/3 of the mixed dry ingredients. Mix on low and gradually move to high speed until well combined and there are no more butter lumps. Add the vanilla, apple cider vinegar, and half of the almond milk and mix well. Pour in half of the remaining dry ingredients and mix on low until just combined. Add the rest of the dry ingredients and mix on low, gradually working your way up to high speed. Scrape the sides of the bowl with a spatula. Mix on medium-speed. While the mixer is running, drizzle in the rest of the almond milk then crank up the speed to high and beat until smooth and slightly fluffy.