This one guy that makes Aleppo soap in Turkey said they usually add Laurel at around the same time as the olive oil, but it takes practice to know exactly when.I don't have the numbers handy, but I tried quite a low lye concentration -- in the teens I think -- and it cooked up fine. If you want to take a shot at maximum authenticity, you would do it hot process and add the laurel oil at the end. There is total agreement between sources that the laurel oil is added at the end.
Less clear is whether the laurel oil is intended to be a superfat to some extent or not. Last time I went with not. I used more than enough caustic to fully saponify all the oil, but I mixed in the laurel oil before pouring and let it finish in the mold. Next time I might try a lye discount.