The hot part is inside.
My computer is cool enough to the touch that you’d never guess that there are things inside hot enough to burn you. When I screwed up the CPU cooler on my desktop PC, it would overheat and shut down in under a minute, but that 180+ degrees never escaped like it should’ve.
That tells me that either something got inside there (my desktop PC starts getting wonky like that when the heat sinks are full of lint, dust, and cat hair), or something inside got knocked loose, like when I misaligned the CPU cooler.
The thing would not be complaining about heat (nor even be designed withteh ability to monitor it’s own temperature) if it were not possible to burn the guts out of it, so if it says it’s hot then at least some part of it is.