Combine the dry ingredients and set aside.
In a mixer, beat the butter, sugars, and vanilla extract on higher speed until light and creamy.
Beat in the egg white. Lower the speed and slowly add in the flour mixture spoon by spoon until fully incorporated.
By hand, add in the coconut and mix in.
Take the dough and form a log shape about 8-10 inches long (these cookies are solely for the tart crust, so don't worry too much about how they look. I didn't.) Wrap tightly in wax or parchment paper and twist the two ends. Refrigerate or freeze until firm, at least two hours.
Preheat oven to 350 degrees. On two cookie sheets lined with parchment paper, slice thin rounds from the log of dough, less than 1/2 an inch, and place an inch apart.
Bake for 10 minutes, until the edges are crisp and the cookie tops are slightly cracked.
Allow to cool for 5 minutes and then move to a wire rack to cool completely. Makes about 30-32 cookies. I made them large because, well, tart.
You can freeze the cookies in a ziplock bag until ready to make the tart if preferred. When making the tart, add 24-26 cookies to a food processor. Pulse until they are pulverized into an even crumb. Add the butter and sugar and pulse until the crumb looks evenly coated.
Preheat oven or keep oven on 350 degrees.
When ready, pack the chocolate crumbs into a greased tart shell with removable bottom. Mine is deep dish so I used most of the crumb mix, but adjust to the size and depth of your tart shell. Press the mixture into the bottom and sides of the shell, pressing the bottom corners so the mix reaches all the way up to the tops of the sides (you can pack down the extra that rises tightly too.)
Bake the tart shell for 8-10 minutes, until it appears to "set." Set aside to cool on wire rack while you prepare the lime filling.