Where can I find the key to the door in Mzulft Aedrome?

I'm in Mzulft Aedrome and ran into this door, but apparently it requires a key.

Can it be found inside the dungeon or did I miss a quest when I entered this place?

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Solution 1:

It is found within the Dungeon, in a chest guarded by a Dwemer Centurion.

UESP has more, but I'm not sure if you wanted to know the exact location or just an assurance that you're in the right place.