You can skip the factory puzzle by clicking the ad button 10000 times.
Can I really click 10000 times the button?
Can it really be done?
How did you do it?
You can, if your hand can take it. I tested it and, indeed, you can skip the puzzle with that. You also get an achievement.
Well, at least this player did it.
I cheated. But I am a software engineer and I can make the computers do menacing tasks for me via technique called "scripting". You have to go through seven years in a university of technology to learn these secrets. Or google "autoclicker".