Pumpkin Bread Pudding

1 1/2 cups cake flour

1 teaspoon baking soda

1 teaspoon baking powder

1/2 tablespoon ground cinnamon

1/2 teaspoon ground allspice

1/4 teaspoon ground ginger

teaspoon ground clove s

teaspoon ground nutmeg

1/2 cup (packed) dark brown sugar

1/2 cup granulated sugar

1/2 cup plus 2 tablespoons grape seed oil

1 cup canned solid-pack pumpkin (not pie filling)*

2 large egg s For Custard

3/4 cup canned solid-pack pumpkin (not pie filling)*

1 1/4 cups whole milk

1/2 teaspoon salt

1/2 cup maple syrup

8 large egg yolks

Accompaniment: vanilla ice cream

1 (15-ounce) can solid-pack pumpkin

1 3/4 cups, just enough for the cake and the pudding.