Full, but not by much.
The added mass isn’t so much that you can’t compensate with more force, so you don’t have to worry about throwing it more slowly because it’s heavier.
At the same time, an object with the same speed will have more momentum if it’s heavier. So the full bottle will be more resistant to things like wind.
But then again there’s not much wind and air resistance can do at low speeds to things as dense as glass bottles.
There’s also psychological effects of how much mote of your strength you may or may not allocate to the throw if you know it’s a full bottle or if you feel like you have a fragile piece of glass in your hand. But that’s more complex and less predictable/testable.
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