Would this computer run FFXIV very well?

[Airlea]

Last piece of advice. if you know anyone able to actually build a PC from parts, get just the same parts or similar from a part retailer like newegg, and have it built by him. PC retailers normally overcharge quite a bit

This is a common misconception now. That used to be the way to go...until everyone started doing it. Companies have long since realized this and dropped their prices on builds for the most part. You can find a pre-packaged deal with nearly exactly what you want far cheaper than buying parts individually and building it yourself. Not to mention it's more convenient.

Edit: I'm not saying one or the other will always be cheaper. I'm saying shop around with both methods since either one could be cheaper depending on what you're looking for. It's about 50/50.