Bureaucracy can be a killer. It hinders productivity and kills spirit, but we will deal with it one way or another.
In my opinion, there’s two ways to beat it:
1- change the system: if you can, talk to your manager, or whoever is responsible, to change the system. Work for it and make it your target to make the system more efficient.
2- use the time: does a task that requires one hour take two days because of bureaucracy or others slacking? If there’s nothing you can do but wait don’t just wait; read, write, research, learn, etc. You’ll basically be getting paid to do something for your own benefit