I have a question about my laptop battery?

So i use my laptop until it says I need to charge it. Then I plug it in and it says that I should conider replacing my battery and that it might suddenly shut off. If I leave it on while charging will it cause serious damage to it? I have an Acer laptop. Can I use it while charging or would it be better not to? If it shuts off will I be able to turn it back on?

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