Game Shutting down

@Caturra75  Thanks for the hwinfo log; it was quite illuminating.  The first thing to note is that your processor runs very hot, each core fluctuating between 70 and 90° C for most of the time you're playing.  This isn't necessarily an issue, since the critical temperature is 100°.  The CPU thermal throttles just a bit here and there, which it should do to protect itself, but it doesn't hit its max, and it doesn't look like overall performance is affected much.  So while it's possible for these kinds of temperatures to cause crashes, I would guess this isn't the cause.

That's not to say the temps don't matter.  It's a good idea to take steps to help cool the laptop while you play: point a fan at it, elevate it (use a laptop tray or put books or something under the corners), or get a cooling pad.  It would also be a good idea to open the laptop and have a look at the fans, if you're comfortable doing so.  There are plenty of guides on YouTube for opening and cleaning any given laptop, so you can have a look and decide whether it's something you'd be willing to try.

Interestingly, the graphics card temperatures are totally fine.

What I think is more likely to be causing your crashes is your system running out of memory.  While 8 GB RAM is enough for Sims 4 and Windows, it looks like there's something else using too much memory while you play.  In fact, your computer is using a lot more memory than I'd expect even before you launch the game: out of 8 GB installed, the system only has 3.5 GB available to begin with.  And that drops under 1 GB for most of the play session:

You can see that virtual memory available drops to zero towards the end, I'm guessing right when the game crashes:

Did you run the test with other apps open, and if so, which ones?  Windows normally manages memory better than this, although RAM-related crashes are not an uncommon problem in Sims 4.  Have you ever manually changed any settings related to virtual memory or the page file?  An artificial limit could prevent Windows from allocating the resources it otherwise would.

Otherwise, if you restart your computer and don't open any apps at all aside from hwinfo, what does it report for physical and virtual memory available?  You don't have to log another session; just let hwinfo run for a couple of minutes with nothing else open, then screenshot the first category of readings, stopping at page file usage.  If it's higher than 2 GB, please look through the Task Manager for any apps using a lot of memory.  You might have a few starting with Windows (maybe even something from HP), and disabling those when you play could help.

I'm still asking for a second opinion though (again), in case I'm missing something important.

Edit:  Apparently I left out something important.  To clarify, are you still testing in a clean user data folder?  If not, was this test in an existing save or a new one?  How much custom content do you use, in GB (if any); and approximately how many mods do you have?