.. Ten thousand clicks

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".