If you go to about 8:46 on the vid, you will see that John Mann has the trem decked and is using the 2.5mm Allen key (wrench) on the trem base plate, to set the screw height.
Once you have done that, screw in the trem claw, just a few turns. String up, making sure that the knife edge of the trem is sat in the grooves of the trem screws.
When you’re up to string tension, adjust the claw to get the trem to float perpendicular to the guitar body.