Ice Box in Ancient City was nowhere to be found

I found an Ancient City in one of my worlds, and I didn't find the Ice Box with the trapdoor. I looked everywhere and I found nothing.

What I expected to happen was...:
The Ice Box would already be there.

What actually happened was...:
I found no Ice Box.

Steps to Reproduce:

1. Create a new world (with cheats) using this seed: 6032507484205188239
2. Go to this coordinate: 2352, -32, 1200
3. Look around the Ancient City, Look everywhere throughout the city.