How do I climb the Galata tower in 60 seconds?
Solution 1:
You should be able to just follow him and you should make it. You'll want to stay in High Profile though throughout the climb. Don't ever stop and don't just mash the jump button, that won't help. Just note that when you do the hook climb, you'll jump up, hook onto a ledge, and jump again. So you're making two strides.
By the time you reach the first big window, you shouldn't be trying to jump anymore. Just climb straight up. You should be able to even catch up to him before you reach the top.