Apple cider donut cake

Hi it's fall and this is a delicious cake that tastes like apple cider donuts. This is a good thing for a cake to taste like since I have yet to find a gluten free apple cider donut.

Apple Cider Donut Cake
From Serious Eats made gluten-free

One apple, peeled, cored, chopped up
1 1/2 c apple cider
1/2 c milk
2 1/2 c flour mix
1/2 t xanthan gum
1 1/2 t baking powder
1/2 t baking soda
1 t salt
1/4 t nutmeg
8 T butter
3/4 c white sugar
1/2 c packed brown sugar
3 room temp eggs
1/4 c vegetable oil
1 t vanilla

Cinnamon-sugar
6 T sugar
1 t ground cinnamon
1/8 t ground nutmeg
1/8 t salt

Preheat oven to 350 and grease a bundt pan (I have also successfully made this in an angel food cake pan). Combine cider and apple in a saucepan and cook until apple is mushy, then puree and measure out 1 cup. Set aside to cool. Combine flour mix, xanthan gum, baking powder and soda, salt and nutmeg and set aside. Beat butter and sugars and light and fluffy, then add eggs one at a time, then mix in oil and vanilla. Stir milk into cider mush. Add flour and cider mush alternately, starting and ending with the flour in three additions. Scrape into a pan, bake 45 minutes until a knife comes out clean. Cool in pan 10 minutes, then flip out onto a plate and press cinnamon-sugar mixture into the sides.