This is a sloppy run but it's just to show the route. The orange portal shot at 00:40 can be made the first try almost every time but I messed up the aim and then the turrets started to shoot me so I had to move around a bit. At 1:06 if you jump earlier and get more speed off the first floor hop the turrets don't shoot you as much. There is also another skip using a turret and cube to climb a wall but I hate object climbing so I'm not doing that.
I usually don't like maps with a lot of turrets but this one was a lot of fun.