Can you tell truly happy from falsely happy?

There There is no "falsely happy" just happiness.

If there is no falsely happy, would not all happiness be true happiness? What qualifies as truly happy? If we are to say that person who is truly happy has no difficulty in their life, then I would be inclined to say no, but there is an alternative.
Aristotle defines a happiness-like state, eudemonia, as a state of flourishing. We don't have to be feeling the emotion of happiness constantly, just acting according to reason for the sake of virtue.
If you have your own definition in mind, I'd love to hear it!

Then it becomes a question that anyone who has ever been happy can answer for themselves.

When I am happy, I am not wanting to be happy. It's kind of obvious isn't it? when I am X I am not wanting X. I want an ice cream only while I don't have an ice cream. Unless you are Jeff Bezos, and no matter how much you have, you want more.