As others have stated, if your model is able to have the battery removed and have it still run off power, no problem, do so.

You should be using a dedicated UPS for something like that if you’re concerned about power going out , For a power input that a laptop requires, you could very easily find a $30 or $40 one at your closest big box retail store.

If you must keep the battery in it be careful to monitor it. I ran a laptop as a server for almost four years. It does work really nice. But depending on model, they may be prone to having the battery expand if it’s on 24-7. And even if it doesn’t, that battery is going to be shot after two or three years of constant use anyway.

You can mitigate the battery health issue by making sure you have some form of battery management software running where it stops charging the battery once it hits like 80-85%. and allows it to discharge on its own. But realistically using a laptop battery as a backup power source isn’t super recommended.

Plus with a UPS, you could also hook your router and modem/ONT up to it, which means that not only is your laptop going to remain on, but usually your network will remain up as well since communication lines are quite a bit more durable and generally stay alive even if the power goes down