Follow the next waypoint to Fisk Tower. After a cutscene, you'll find yourself inside the building. Swing toward the group of enemies up ahead and use to start fighting them. Air combos should prove helpful here, but if your health does end up running low, make sure to press to transfer any acquired Focus to the health bar. After clearing out these thugs, you can press + to zip to the next group. After defeating a couple of these guys, some more will come pouring out of the elevator. All of these thugs are carrying firearms, so it can get a little tough for a point so early in the game, but just make sure to use whenever possible, even if you must interrupt a combo to do so.
Infiltrate the building
After a cutscene, simply approach the elevator wall to climb up it. If you're looking for a speedier approach, hold to wall run and to zip forward. Once you reach the top of the shaft, press to get through the vent. Upon reaching a dead end in these narrow tunnels, you can continue by approaching the wall to climb it. Follow the path until eventually, you come across another vent, which you can use to drop down through. Zip to a balcony where enemies can be found shooting at the police officers down below and clear them out, making sure to dodge their powerful guns in the process. The next group of enemies won't be as tough due to a lack of firearms; simply fill up your Focus bar and use + to take them out quickly with finishers.
Stop the server wipe
Once all enemies are dealt with, zip to the next balcony to find yourself face-to-face with the Server Room. Pressing will reveal that plenty of enemies are roaming around inside. Instead of confronting them head-on, turn to the left and look up at the ceiling to spot a vent that you can zip to. Crawl along until you come across the first vent; pressing will cause Spider-Man to take out an enemy stealthily. Afterward, continue on to the next, which you can drop down through. After dealing with the enemies, access the computer with for a scene. Some more enemies will come rushing in to deal with Spider-Man, though only two by the doors have guns. Exit the room and zip up to the next floor through the gaping hole in the ceiling.
Help the civilians
After defeating a group of three thugs, one of which is equipped with a handgun, zip to the next floor for a short scene. The bomb squad instructs Spider-Man to rescue trapped civilians while they search for bombs, so zip toward the fire to begin your search for innocents. Enter the area to find a beam blocking a couple of people off from the exit. Use + to move the debris out of their way, and they'll let you know that there are some more civilians trapped further inside.
Follow the path to the left, where you should see your path forward blocked by a ton of rubble. Spider-Man can squeeze in through the right to find the remaining civilians. After crawling to them, Spider-Man will offer to lift the rubble up, giving them some space to exit. Mash rapidly and some more debris will come crashing down, but as Spider-Man is undeterred, keep mashing . Once the civilians are out of the way, continue forward from here.
Locate the Bomb Squad
A vent that you can zip to can be found in a nook off to the right. Climb up a wall in here to continue forward, until you come across a vent that you can drop through. Proceed past the police officers to find out what's giving them trouble: a rocket launcher. Dodge when you spot the target on you and zip to the pesky thug to take him out. Afterward, you'll have to zip a couple more times to deal with even more rocket launchers. Hold + to take out the door that they're guarding, then run through the area using and Spider-Man will show off his parkour skills. Once you've made it past two staircases, you'll come across some more enemies. Dodge into walls with , then attack with to knock back multiple enemies, giving you some breathing room.
Open the door at the next checkpoint for a scene, after which you're introduced to enemies with shields. After a basic attack or a Web Strike, you can dodge under enemies with to not only stagger them, but end up behind them, where they're most vulnerable. This skill is invaluable against enemies with shields, but before dealing with them, take out the machine guns that are constantly firing at you; it's difficult to dodge under and combo shielded enemies if gunfire is constantly interrupting. Once all of these enemies are dealt with, you can proceed to the big red doors that lead into Fisk's office. It's time for a boss fight.
Boss: Wilson Fisk
The first phase of this boss fight is against Fisk's turrets. Dodge their fire until they take a break to cool down; hide behind a pillar and shoot at whichever turret is visible, then hold + to throw it right at Fisk. The throw takes a while to charge, and it may be just enough time for the other turret to cool down and begin shooting again. This is why hiding behind a pillar, out of range of the other turret, is important. Afterward, you can take out the other turret and Fisk will have no choice but to face Spider-Man himself.
Fisk will start by throwing a large chunk of concrete at Spider-Man. Hold + to throw it right back at him, then approach him with to begin a combo. Step away from him after concluding the combo, as attacking anymore than that will cause him to retaliate. Keep in mind that you don't have to wait for Fisk to throw debris at you for an attack opening here; you can throw whatever is in your range at Fisk to speed up this phase of the fight. After a scene, you'll move to the next phase, which is the same as this one, albeit with Fisk's thugs surrounding him. Make sure to take them out with air combos so as to keep out of reach of Fisk, and if you ever need some distance, remember that you can swing far above these enemies.
After enough throws and combos, a short QTE sequence will begin, though it doesn't actually require precision; press to dodge Fisk's strike, + to zip, to strike, and repeatedly to combo him in the air. This will finish Fisk off for good. After the mission, feel free to spend your first skill point and roam the city.