Start by getting an appropriate disguise that will help you get into the homeless shelter.
Wait in the place shown in the image above until the homeless people finish talking.
Change into his clothes and hide his body in the container across the street.
Now, walking between cars won’t draw anyone’s attention.
Turn left and enter the building through the double doors.
On the first floor you will be greeted by two men.
Allow yourself to be searched, then follow one of the men to the upper floor of the building.
Sit in the waiting room and wait for your turn.
When you are called, approach the recruiting station and sit in the chair.
After you leave, continue walking forward.
Go through the balcony to the blue door.
Once the man patrolling the room outside the door has moved a little further away, slipinside.
Approach the man from behind, overpower him and take his belongings.
Go straight to the end of the hallway.
There is one guard stationed on the left, moving once in one direction and once in the other.
When he is not looking towards the stairwell, go to the lab area and turn left.
The Lethal Poison Pill Jar is to the left, in the location marked in the image above.
you could take it safely - no one will pay any attention.
Now you gotta take the staircase to the upper floor.
Go back and turn left into the bathroom.
There you will meet the person who has been selected for today’s treatment.
Go behind him, subdue him and change into his clothes.
Hide the body in the closet.
Step out of the small bathroom and let the woman in the white apron know you are ready.
Before you’re free to begin, you must wait for Leia’s sister.
Sit in the chair when asked to do so.
For example, throw an apple on the ground that you took earlier from the recruiting room.
On the left you will notice a rig connected to the ventilation system - add some poison there.
After a while, the target will be dead.
Mnemonic
One unconventional way to eliminate Hush is to fry his brain during an experiment.

You will not need any additional items to complete this task.
After you leave, continue walking forward.
Now, head to the stairwell and go up two floors.
Go through the double doors on the left and you’ll end up in the experiment area.
Turn right and enter a small room through a narrow door.
There you will meet the person who has been selected for today’s treatment.
Go behind him, subdue him and change into his clothes.
Hide the body in the closet.
For example, throw an apple on the ground that you took earlier from the recruiting room.
Wait for the woman who ordered the break to return to her post.
Climb the staircase to the roof of the building.
Eliminate him to gain access to the sniper weapon.
Once you’ve shot down 5 drones, wait for two more devices to appear over Hush’s building.
At some point, the guards will move upstairs.
Right after him, a second guard will step onto the roof.
Pull yourself up then to get on the roof and overpower him.
When the second man comes down to the roof, tackle him from behind and incapacitate him.
The area is clear - no one else will bother you.
To do this, you must first bring Hush and Imogen Royce together.
Wait for Hush to approach Imogen Royce and shoot the gas barrel twice.
The item is faintly visible, but we highlighted it in the image above.
The explosion will take out two targets simultaneously.
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