I'm playing Fortnite on a laptop because I don't have a gaming PC. But I noticed that even after playing for a short time it gets extremely hot. I also drew on the picture where it is hottest. I don't know exactly how hot it will be, but I always put it on a book so that the ventilation is exposed. I've had it for about a year now.
I look forward to your answers in advance.
That is also the case with my gaming laptop, but it is mostly because of me that I also charge it in order to generate a better frame rate.
But it could also be due to the graphics because most of the time the game uses more of the GPU & CPU.
The battery is usually there
It is best to play at a table and not to charge the battery while gaming.
Then it doesn't get that hot either
Most likely, your laptop's performance is too bad for the game. Even the PlayStation 4 heats up very quickly at Fortnite.