Isn't the word "experience" wrongly used in this context?

Friend: Have you ever flirted with a female cop?

Me: Nope.

Friend: I have done that experience.

I think experience is the wrong word here. What else should he have said?

Answer

Experience is fine. The problem is the done. You don't do an experience¹. You have an experience.

I have had that experience.

That's what he should have said. Or, alternatively, just relied on do alone:

Yes, I have done that.

Or, indeed, just use the have:

Yes, I have.

While there's other options, there was nothing wrong with using experience. The only problem is that you don't do experiences.

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¹: Well, there is a use of experience that has emerged in recent years that you would use to do to talk about, but it's not actually relevant here.