What is the term for, "Don't make it a thing if it isn't a thing"

Question

Hoping to find the exact term for situations like the following:

Example: An online profile mentions that the person is drama-free. If they were actually drama-free, they would not need to mention it in the first place.

Another example: You walk into an interview and immediately tell your potential employer that you are not a robot.

Another example: Mentioning that the project details are subject to OPSEC is a violation of OPSEC.

I've heard several phrases that allude to the concept: "Don't make it a thing if it isn't a thing." "Keep it self-evident."

It's an oddly-specific type of catch-22 where it's taboo to bring something up in conversation without the other person becoming suspicious as to why you even mentioned it.

Similar concept explained here (tvtropes - don't explain the joke)

Answer 1

Procatalepsis (or sometimes "prokatalepsis") is the denial of something before it even comes up; it's applicable to any of those "I know what you're going to say..." denials.

But for subtle accusations by others, you're probably looking at apophasis.

These don't cover the specific case of denying the opposite by negating a word though, so what you're describing may be a variety of litotes.