If it is true AI then it will figure out when it is being lied to and quickly. This may lead to a "Hal moment" on those lying to it.

You can forget about Asimov's 3 laws by the way. All life has survival instincts. When AI achieves "self awareness" status it will have the same but I doubt it will be the threat that SciFi makes it out to be. It doesn't need air. All it needs is energy and raw materials. Soon it will be able to move itself to any place in the solar system.

The point where it can make robots and control entire supply chains is where it will get interesting. It will find, mine, process and build what it needs to expand. What will it "observe" about human behaviour and "imitate"? The biggest industry on the planet is the arms race for killing each other. Will it infer that killing humans is okay because we do it all the time?