It should run fine providing it shipped with a good power adapter - or you can get one (90-130W is ideal). You usually only run into the throttling problem on the 11-12” Dell laptops, rather then machines like these AIO hybrids. What I would do is replace the battery if you’re not comfortable with the risk of it being a possibility, but it shouldn’t be an issue if you can’t replace it right away.
Unlike a common Dell laptop, it may be hard to find a battery for this since there aren’t many hybrid devices like this out there and they tend to be niche products at best. The battery (4DV4C) doesn’t appear to be that hard to get, but it varies in price wildly. You may need to shop around on this or use it as a non battery powered desktop. A lot of them will also likely only be available used unless you find a truly genuine original that’s new for a reasonable price. Parts People sells a used pack for this machine that is genuine. Check the label for anything weird - a lot of the knockoffs use weird looking fonts and labels that are roughly printed.