Pre-heat the oven to 375 degrees and spray and line a 9x9 square pan with non-stick spray and parchment paper cross and length wise leaving some of the paper to hang over the sides. Spray the parchment paper with more non-stick spray and set aside.
In the bowl of food processor fitted with s-blade, add all the dry ingredients and pulse a few times to incorporate.
Sprinkle the cubed butter over top of the flour. Pulse the food processor about 30 times in short second bursts until you have a sandy mixture. While running add the egg yolk and vinegar then the ice water 1 tablespoon at a time until the dough comes together and forms a ball. It's ok if there are still some loose bits.
Dump the dough into the bottom of prepared pan and press evenly across the bottom. Ok if it comes slight up the side, but not too much. Once even, dock the dough with a fork all over the bottom and place in the pre-heated oven on the middle rack. Bake for 15 minutes, check the dough and press down with the bottom of a glass or measuring cup sprayed with non-stick spray to even out and keep dough from puffing up too much. Place back into the oven and continue to bake another 5 or 10 minutes until the crust is a light golden brown. Remove from oven and place on cooling wrack while you prepare the filling.
For the Filling:
In a small sauce pan add the coconut milk and the agar agar powder and bring just to a simmer while whisking constantly until the powdered is dissolved and mixture thickens some, about 3 to 5 minutes. Remove from heat and pour into bowl and set a side to cool some
In the container of a high-speed blender add all of the filling ingredients except the freeze dried strawberries. Next pour in the coconut milk mixture and blend until completely smooth and creamy. A few minutes on high.
Next reserve about 1½ to 2 cups (depending how much of the cream portion you want) of the mixture in a bowl and set aside. Add the freeze dried strawberries to the remaining mixture in the blender and blend on high until the strawberries are incorporated completely into the mixture and it is smooth with no bits of strawberries. Should only take a few minutes.
Pour strawberry mixture into the cooled crust and evenly spread out. Next gently pour the cream portion on top and carefully spread over the strawberry layer. Ok if they blend a bit, you can make pretty swirls with a knife if you like. Cover with tin-foil and place in the fridge for at least 6 hours to overnight (great make ahead).
Remove the bars from the fridge and using the parchment overhang, pull the set bars out of the pan. Slice into squares. Store left overs in airtight container in the fridge for 3 to 5 ddays.
Enjoy!
Recipe by Social Buttercream at http://socialbuttercream.com/2020/06/20/gf-strawberries-cream-bars-suns-out-strawberries-out/