I am pretty sure it is one license per machine.
Your setup may seem like overkill from the outside but I think it is best to be a little overpowered than be underpowered. Don't spend all of your cash reserve just in case you need to tweak the machines x4 once they are setup.
Don't forget to upgrade your power outlets to handle the extra load. I.E. run a new outlet (or 2) on a dedicated 20A service breaker or similar just for your gaming rigs. Last thing you want is a wall fire.
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