The condition of the battery is not normal - nor is it entirely surprising - this type of battery technology (used in phones and notebooks and whatever) is not perfect. Batteries can fail in several ways, including becoming a swollen mess.
If the battery has not actually failed already, it will do so.
"Fat" Battery / Bloated Battery / Swollen Battery
If the battery is in a swollen or bloated condition, the battery must be removed from the computer and replaced.
There are no other remedies, tests, or useful options.
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I have already removed the battery from my laptop, and I will order the replacement as soon as possible... in the mean time I'm working plugged directly into the outlet, hoping it won't cause any damage to the machine.
The computer will be fine running on AC only - the only risk, of course, is that the power might fail. Rather than letting it sleep when you are done using it for the day, remember to shut it down.
Keep your backups current - perhaps paying a bit more attention than you might otherwise. Make sure your most critical data is backed up on other than the machine, perhaps a cloud drive, USB drive, "somewhere".
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