Industrial Espionage is a contract in Mission 1 of Dishonored Death of the Outsider.
Mission 1 – One Last Fight has two contracts that can be completed without much deviation from the main mission. You receive them by looking at a piece of paper on your desk on the Dreadful Wale at the beginning of the first mission.
Industrial Espionage Walkthrough
When you enter the Albarca Baths, there will be a door to the right that is labeled as ‘Restricted Area’. Pay the Eyeless outside 100 gold to open the door. If you don’t have enough, you can go down into the boxing ring area, and look up above the ring to get the painting of the Outsider which is worth 200 gold. Don’t worry, as soon as she knocks on the door to be opened, she will move away and you can immediately pickpocket her to get the money back (and to be on the safe side, you should probably knockout/kill her too, then hide the body). If you can’t make enough money, the other way up into this area is to take out the guard behind the counter on the first floor and go through the gate behind him, and up the stairs. It is very difficult to do this while remaining unseen however, so luckily there is a third way. From the showers area next to the boxing ring, jump up to the pipes above you and you will see a place near the back wall where there is a hole in the ceiling. Jump up into the room above and you’ll see a hole in the wall with steam blocking passage through. Turn the red wheel to the left of the hole to stop the steam, and you’ll be able to hop through onto the pipes above the ring. The restricted area door where we began is to your right.
Assuming you took the easy way and bought your way in at the entrance, Enter the next room and take out the Eyeless there, before going behind the bar to the right to find the recipe. Once you have it, smash all the bottles. There are two crates, and some loose in the area. Smash them all until you get the pop-up that the contract is complete.
Next up: Burn the White Hound