Preheat the oven to 350F [180C]. Position a rack in the lower middle. Butter and flour a 10-inch, 12-cup [25 cm – 2.9L] nonstick Bundt pan.
In the bowl of a stand mixer fitted with a paddle, beat together the butter, granulated sugar, and zest on medium speed until light and fluffy, about 2 minutes. Add the eggs one at a time, beating after each until uniform. Scrape down the sides and bottom of the bowl, add the vanilla and bitters, and stir to combine.
In a separate bowl, stir together the flours, baking soda, and salt. Add to the butter mixture in thirds, alternating with the juices and half and half, and beat on low to combine, scraping the bowl after each addition. Stir in the blueberries.
Pour the batter into the prepared pan (it will come to the top of the Bundt pan) and bake on a baking sheet until a wooden skewer inserted into the center comes out with a tiny crumb, 1 hour to 1 hour 10 minutes. Transfer to a wire rack and cool for 20 minutes. Remove from the pan, and let cool for 20 minutes. Pour half the glaze over the top of the bundt cake and let sit for 20 minutes, then repeat with the remaining glaze.