The proposed deal poses no bounds on what I'm allowed to do with the limitless funds provided I kept my part of the deal. Money equates to power. Limitless equates to infinite. So yes, I would.
With infinite power guaranteed by the government I could single-handedly and lawfully override even the government itself. Should they cut a program or budget I want I could provide it myself. Should they start something I disagree with I could privately run an alternative program that has an infinitely larger budget. Resistance would be futile.
I could start or stop wars. I could eliminate all poverty not through handouts but by changing society itself. I could eliminate fraud. I could hire the best brains in the world to help me analyze and make decisions. If I found I need to adjust any decision I could admit and do it without worrying about the consequences.
A portion of a single person's happiness is a small price to pay for lawful, government-backed and guaranteed power and freedom that no-one else in the history of the world has ever held.