Make the crust: In a large bowl, combine flour, sugar, cinnamon, and salt. Cut in coconut oil with a fork or your fingers until crumbly. Add ice water by the tablespoon until mixture forms a shaggy dough. Turn dough onto a floured surface and knead several times until dough just comes together. Wrap dough in plastic wrap and refrigerate while you make the filling:
Make the filling: In a medium bowl, combine all filling ingredients until combined. Preheat oven to 400F.
On a floured surface, roll chilled dough out into a 12-in circle. Spoon filling into center then gently fold outside edges of dough over part of the filling, pinching dough to seal. In a small bowl, whisk egg and water together, then brush over crust.
Bake galette at 400F 35-40 minutes or until crust is golden-brown and filling is bubbly. Cool galette completely on a wire cooling rack.
Make the glaze: In a small bowl, whisk sugar, chai spice, vanilla, and just enough half-and-half to make a drizzling consistency. Drizzle glaze over cooled galette and let stand 10 minutes. Slice galette into wedges and serve. Enjoy!