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I am not sure if my computer is an EMC 2429 or Model A1312 and I am not sure where to find that information. I am seeking to replace the graphics card. The info I have is listed in the Question Title.

Look on the bottom of the stand if it won’t boot up to look at “about this Mac”.. For full exact data use the serial number located on the stand and input it here: https://everymac.com/ultimate-mac-lookup