Reinstalling TurboTax after Hard drive failure. Ran out of Activations.

My family uses TurboTax Deluxe desktop retail. We are 3 people with each their own computer so we need all 3 activations provided by the Key.

I installed TurboTax on my computer and used the last of the three activations. Last week however I had a hard drive failure and had to re-install windows and most of my software. Unfortunately TurboTax will not activate anymore as all 3 activations have already been used. I am still using the same exact computer as before, all I did was a fresh windows install.

I asked technical support on the phone for a solution but they could not help. I would like a clear answer from TurboTax support about how to solve this issue.