@AgnieszkaMaria81 The tests you've run don't rule out overheating as a cause, they just demonstrate that your processor is running as expected in those particular tests. While that's good news, the tests are designed to show a certain subset of CPU performance issues; they don't cover every possible problem.
I'm not saying there's anything wrong with your CPU, I'm saying that it's overheating right when your computer shuts down. That is clear from the hwinfo log. I can't tell you definitively that your laptop is shutting down because of the overheating, because that info isn't available to me. I can only tell you that the timing is highly suspicious.
And I can also tell you that hwinfo reports that your CPU fan is slowing down, not stopping but running at a lower speed, when your CPU temps increase. I can't tell you whether this is a reporting error or a real problem with one or both fans.
This is why I think you should have the laptop examined in person at a repair shop. There are tools available to monitor the laptop components in real time, and a technician would already have everything ready for testing.