EDIT:: jukemate told to me at its comment, this solution didn't works.If the perfect solution appears, I wll delete this guide.
My solution is to fail for first detective mission.
When you are in first Interrogation with Ice King, you have to talk him kindly, then you are fail , and continue.
And you have to get every achievements except for
In this case, you can get this achievement when you pull the plug.
I don't know why, but I sure got.
You can get first Interrogation at 2nd playthrough. it will take 5 mins.