No, what I mean is that the choice must not be determined by the state of the universe, that would not be free will in the sense I try to define here, and it must not be independent of everything, i.e. it must not be random, because that would not be free will either. I am defining free will and I am requiring specific properties, among others non random choices, I am not looking at the properties of a given definition, for example whether choices are just random. So the challenge is, if you want to argue that this kind of free will exists, to find or invent something, that can influence your choices but that is neither the state of the universe nor randomness. It is the inability to do this - assuming we really can not do this - that proves that this kind of free will does not exist.

The example I usually use is that you are sitting in a restaurant and you have to choose between ordering steak and fish. And we repeat this over and over again by rewinding the universe to the point just before you make your choice. If you have free will in the sense I am just trying to defining with this, you will not always make the same choice in every iteration, or at least not necessarily, but maybe you really don't like fish, I wich case the experimental setup is just bad. But the important thing is that your choice it not simply a deterministic function of the current state of the universe, including your personal history and the environment you are in.

On the other hand I also require that your choice is not simply random, possibly according to a probability distribution depending on the state of the universe reflecting your past experiences with and preferences for steak and fish, maybe in the specific restaurant, maybe depending on your mood or whatever else may play a role. If it were just random, then I would not consider it free will either under this definition.

And now the challenge is to identify something that could influence your choice but that is not the state of the universe and that is not randomness. If you can find such a thing, then you can have free will according to this definition of it, otherwise there is no free will in this sense. This is obviously quite hard because there are not that many things remaining after taking away the current state of the universe and randomness.

Nevertheless you could try to come up with souls or minds or, I don't know, maybe Platonic mathematical objects that are not part of the state of the universe and outside of space and maybe even time and then you could investigate whether those things could somehow provide what is required for you to have free will in this sense. Personally I don't think you can come up with something that works and that is consistent with itself and the world as we know it, but what do I know?

EDIT: While I edited out some mistakes, I got an idea that I had not thought about before and that is not too esoteric. Your choices could not only depend on the current state of the universe but also on a past state of the universe or its entire history so that you could not necessarily predict choices by just looking at the current state of the universe. It also would not just be a random choice.

That does not, as far as we know, work in our universe because the evolution of the universe is unitary so that all past - and future - states of the universe are implicit in any one state of the universe, but one could probably imagine a consistent universe with certain laws of nature where the current state of the universe does not entail all information about the past and the future. So maybe, but certainly not obviously, that could be a path towards free will in the sense I defined it, by messing a bit with the laws of nature so that the current state of the universe looses some if its power.