Mental Misdirection is an umbrella term for the art of being deliberately obtuse.
It's a skill that requires a delicate balance of being simultaneously vague and evasive.
Here are some tips on how to improve your subtlety:
Dodge a Question without actually answering it.
Avoid the Truth with finesse.
Or, you know prophets of old said, "A good misdirection is like a good poker face."
Learn from the Masters of mental misdirection.