Do you know this as fact? If you are even a smidge unsure, boil the eggs, allow to cool and replace.
As for removing eggs, if these are your birds first eggs and there is no nest, and she is not interested at all, then just remove them, don´t bother boiling the eggs, just squish them over the bin.
However, if your bird is returning to the egg, or has tried to make a nest (it might be a pretty rubbish nest the first time), then put the egg (boiled) in her nest for her and allow her to continue her clutch and then brood.
If your hen has made a nest and is tending to the egg, and then you take that away, this is when you open up to the possibility of excessive laying where your hen will try to replace the lost eggs.
Remember, even while laying and brooding, it is important to encourage your hen to get out of her cage and excersize. You can do this by using recall if she is trained, or by offering millet in various places in the room making her fly for the treat. Even just 5-10 minutes of flight and then let her rest. Don´t push her as she will tire quicker.
If your bird eats veggies, be sure to offer plenty of dark leafy greens, kale and the likes
Edit; to clarify, when I wrote ¨allow her to brood¨, incubation time is 22 days so after 3 weeks you want to be encouraging her to abandon the eggs if she has not done so already and don´t leave her brooding for more than 4 weeks.