Some BIOS's allow you to allocate more or less shared SYSTEM RAM to integrated video. Check in BIOS to see if its set to the maximum, but be aware that it takes a chunk of system memory dedicated to its operation so if you have 4GB RAM and set the Video Memory to 512MB then you now have about 3.5GB RAM for the OS. *Not all BIOS's will let you mess with the shared memory amount, but some will.
*My guess is that if your able to make the allocation larger to play the game, the game might not play that well on this laptop. You might get very low frame rates on a game that is asking for more video RAM, usually also wants a beefy GPU to crunch the video rendering.
Maybe you will get lucky and its set to 256MB now and can set to 512MB or larger, and the game will work fine after saving changes in BIOS and reboot.