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My computer has very lackluster specs so I'm wondering if I can run this game on my computer. I unfortunately only have a Intel(R) G33/G31 Express Chipset Family. Yes I need to get a new computer very soon

My computer specs are here: Pentium(R) Dual-Core CPU E5300 @ 2.60GHz (2 CPUs), ~2.6GHz
Memory: 5120MB RAM
Available OS Memory: 5110MB RAM
Page File: 2369MB used, 7848MB available
Windows Dir: C:\Windows
DirectX Version: DirectX 11
DX Setup Parameters: Not found
User DPI Setting: Using System DPI
System DPI Setting: 96 DPI (100 percent)
DWM DPI Scaling: Disabled
DxDiag Version: 6.01.7601.17514 64bit Unicode

We use shader model 2.0, so shouldn't be a problem there. It looks like you have plenty of RAM and your CPU is fine, but the passmark on that G33/G31 chipset is only a... 9.
http://www.videocardbenchmark.net/gpu.php?gpu=Intel+G33%2FG31+Express
That is by far the worst score I've seen, which makes me skeptical, unfortunately! :\

We did have someone try it on a Radeon Mobility 9600 (which has a passmark of 30) and it was playable (30+ fps) on the 1 skull graphic quality setting.

If you know you'll be upgrading your computer, you can always get the game now and see if it works (and if not, play later ). If you do try it, there is a setting that you should change before entering a match. Go into Settings and set Graphics Quality it to 1 skull (out of max 4). This may run successfully (this setting is used on some lower end windows 8 tablets, and we haven't had anybody report the game is unplayable due to a slow machine) but I remain wary.