Preheat your oven to 350°F (175°C). Grease your 9-inch round cake pan and line the bottom with parchment paper to ensure an easy release after baking.
In a mixing bowl, beat the butter and sugar together using an electric mixer until the mixture is light and fluffy, about 3-5 minutes.
Add the egg yolks, vanilla extract, and almond extract to the butter-sugar mixture. Mix until fully combined.
In another bowl, whisk together the almond flour, cake flour, and baking powder. Gradually add this dry mixture to the wet ingredients, folding gently to combine.
In a clean bowl, beat the egg whites with cream of tartar until stiff peaks form.
Gently fold the whipped egg whites into the batter, being careful not to deflate them to keep the cake light and airy.
Pour the batter into the prepared cake pan and smooth the top. Bake in the preheated oven for about 25-30 minutes, or until a toothpick inserted into the center comes out clean. Let it cool in the pan for 10 minutes before transferring to a wire rack to cool completely.
While the cake cools, brew your concentrated green tea with 6 or more tea bags. In a small saucepan, combine the brewed tea and honey. Heat gently until slightly reduced and thickened. Remove from heat and let cool.
Once the cake is completely cooled, drizzle the green tea honey glaze over the top. Allow it to set for a few minutes before slicing and serving.