Well, Laptops don't actually have graphic "cards" in a sense. They are just GPUs (Graphic Processing Units) that are stuck to the mother board for good. Well, most of the time.
For example, the new iMacs have PCe GPU's that actually unplug from the Motherboard but because its laptop parts and nobody sells GPU upgrade for laptops because most of them in laptops can't be removed. Basically, you just have to buy a new laptop =/
Also, the BSOD is probably not from the video. It could be a bug in the game or you don't have enough RAM installed.
Example, my mom's Macintosh (MacBook Pro) From 2008 was 2K and it came with 2 GPUs. One for better battery life, a 9600M Nvidia with 256MB that shares the RAM and a high performance card for graphic arts and such which is a 9600M GT with 512MB vRAM.
Some games do take down a whole computer operating system when a shared card (like the 9600M or the Intel AGC) when it runs out of memory (or the game asks for too much) so it could be the video card. But its rare and it more likely is either you don't have enough RAM or the game has a bug where it is sending illegal commands to the kernel O.O
/nerd post done
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