Help! My sims 4 won't install on my new computer

So, on my old computer, i had the Sims 4 and still had it in my library so all was fine. Then my computer broke and when it worked again, all files including the EA game folder on the actual computer was lost. I got a new computer and i have origin on it but naturally the code says it has already been used, but it's the same origin account. Do I have to buy a new copy of the game or is there a way to solve this?