After speaking with Luddick and unlocking various notebook entries, head into the alley near Luddick's car.
There's a policeman (1) at the end. Kill him before he starts shooting at Lara.
Pick up the CLAW HAMMER (1) he drops.
Cross the square toward Vasiley's building, the one cordoned off with yellow police tape. There's a trapdoor on the ground in front of the building to the right of Vasiley's.
Use the hammer to break the lock. Then open the trapdoor and drop in.
Climb down the ladder or safety drop into the tunnel...
...and get a small medipack (2). Then climb back out through the trapdoor.
Now you're headed for a second trapdoor, in the alley behind and to the left of Vasiley's building. There are 2 policemen (2-3) and a police dog (4) on patrol here. If you like, you can just shoot all of them. But if you're going for the "Good Boys" achievement/trophy (avoid killing dogs or being bitten), here's a strategy that may help:
Approach the front left corner of Vasiley's building (when facing it).
Look for one policeman either in the alley directly ahead...
...or the one that runs along the left side of Vasiley's building.
Run forward and shoot him, or use the stealth lean at the corner to snipe at him as he approaches.
When he falls, run down the alley alongside Vasiley's building and look for the other policeman and the dog here.
They'll probably be off to the left near the trapdoor. Wait until the dog notices you. Then run/sprint back the way you came.
When you reach the square...
...turn into the alley on the right.
Run/sprint forward to the next corner and turn right again.
Run/sprint to the next corner...
...and shoot the second policeman. (The dog should continue to pursue Lara.)
When you've killed the cop, continue forward to the trapdoor. Use the claw hammer to open it and drop in. If you're fast, the dog will not have time to catch up.
NOTE: Depending on how long you take to get the hammer and open the first trapdoor, the 2 policemen and dog may be in slightly different positions than I describe. The same basic strategy should still work. Shoot the lone man, lure the dog away, and run/sprint around the building(s) until you can kill the other cop and open the trapdoor.
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