In a mixing bowl, using an electric mixer with a whisk or paddle attachment, cream the vegan butter, cane and brown sugar together until fluffy.
Then beat in the flax egg, and plant milk. Scrape down the sides of the bowl, if needed.
In a separate bowl, using a sieve add the dry ingredients flour, cocoa powder, baking powder, and salt. Mix to combine everything with a whisk.
While the mixer is running, add the dry ingredients to the butter mixture in two parts. The dough will be rather crumbly, but it should be soft and not sticky. Form the dough into a ball and flatten it into a disk. Wrap it and refrigerate for 30 minutes.
Divide the chilled dough into ⅓ and ⅔. Take the bigger dough piece and place it in between two sheets of parchment (or plastic wrap) and roll it out into a circle with your rolling pin. The circle should be around 10 inches in diameter.
Remove the upper sheet of parchment paper. Gently invert the crust into your springform pan, removing the other piece of parchment as you go. If the crust breaks or rips a little, you can either start over by rolling it out again or simply repair the flaws by gently pinching it back together with your fingers. Trim any excess dough. Refrigerate the lined pan until ready to be filled and baked.