Terminus Hotel
Walk up the alley and across the street to the Terminus Hotel. On the left side will be a ladder leading down into the basement. Go down into the basement and through the sewer. At the end, jump up the ledge into the basement of the hotel itself.
Take cover at the corner of the hallway and grab the wrench. You'll see a light at the end of the hallway. Wait for it to leave and then go to the end of the hallway and take cover at the box. You'll see the man with the light at the other end looking away from you. Quickly move from this cover up the stairs to your right. When you get there, take cover at the corner before going up the second set of stairs.
You'll see a couple of men talking in the next room but they will move so that the boxes in the middle of the floor will be between you and them. When they do this, move up to those boxes. Wait until you are sure they are not looking in your direction and move through the doorway to your right. This will lead to a room with a few desks and various debris. Move through the room and take cover at the second open doorway.
The doorway will lead down some stairs and there's some boxes and a pallet along the left side of the stairs that wrap to the right. Stick to this until the end and then roll to the large box on the right side. Keep moving to the right and you'll be in a small maintenance room. Just beyond this room is a room with a large cage elevator just beyond. You want to throw the wrench at something or take the bottle nearby and throw that over the heads of the two men in front of the elevator so that attention is drawn away from you.
When they are distracted, run over to the elevator and hop on. You may have to wander away temporarily and create another distraction later if the elevator takes too long.
Upper Floors
When you get off of the elevator, immediately turn left and then turn left again to start down a hallway. Directly ahead will be a door with a red light over it and a guard off to the left guarding a window. Go to the end of this hallway and then take a right followed by a quick left. In this section, you'll find a maid's cart ahead on the left side of the hallway. Pick up the radio on the cart and walk it over to the corner nearest the guard but make sure that you aren't visible.
Pull the right trigger to drop the radio and then turn it on where it is. After it is on, walk out into the hallway and past the guard just a few steps. He'll go to investigate the radio and when he leaves the window, jump through it quickly.
Start sliding left, drop down to the lower ledge and then back up to the top ledge a little further on. Climb through the window here and then make your way up the steps. At the top, go through the door to find a giant bear. Leave the room through the open side door but go slowly. Take cover behind the cart near the door and you'll see a guard at the end of the hallway that you're in. He'll move around a lot near a window (remember the window), a couch and at some point, he may come over to where you are. Avoid him when he does and when it is safe to move, head to the left into the coat room.
Move through this room to the door at the far side. Go through the door and take cover behind the short wall ahead and to the left. You'll hear some guards sitting around and talking. Wait for their conversation to resolve and for their boss to show up. They'll all disperse. Now move to the right towards the guard by the open window from earlier. Keep moving to the right until you are at the opening to the hallway. He should now be making a short trip between the couch and the corner just to the right. Wait for him to start walking away from the window and then make a mad dash for it. Climb through the window quickly so he won't notice you.
When you've gone through the window, move along the ledge towards the pipes spanning the gap. Drop down so you are hanging on the ledge and start slide along the pipes. Jump the gap in the pipes as you move left and then pull yourself up onto the ledge on the far side. Stand next to the window and wait for the guard. A guard will come by and look at the window. You don't have to kill him. Wait for him to leave the window and as soon as he does, hop through the window and immediately turn right to find locked double doors. Pick the lock and go through the doors before the guard turns around.
On the other side of the doors, walk towards the single lone door ahead but you can't go through it. Turn right and you'll see a vent at about head height. Climb into the vent and crawl to the end of the vent to complete the mission.
