Yes we sometimes use three steps in anticing.
Our deice trucks can deliver hot water by itself. If there is a lot of frozen deposits we will start with hot water, then type 1, then if there is any precipitation we use type 2 100pc for anticing.
We also have air blowers on the truck. This is used as the first step to remove loose snow. It is very useful around the cockpit windows which you don't want to contaminate with deice fluid.
The whole point of this is using less deice fluid for the same result. We are tasked by the airport to remove the deice fluid from the ramp, so after the aircraft has departed a sweeper goes in to collect the fluid. The less fluid the easier. The deice company is paid a fixed sum for each deicing, plus a sum per litre for deice fluid. Using snow blowers ( and sometimes brooms) before deicing proper starts can save time as we are not allowed to deice in advance, only just before departure, to stop too much fluid running down the apron drains.
One thing i have learnt after twenty years deicing in Scandinavia. There is one result, the clean wing, but many many ways to acheive it!