Keeping Norton for Later Date if Not Activated

I purchased a new year subscription of Norton from a 3rd party company a few days ago. However, my wife bought a new laptop a day after that came with another antivirus software included that is available to use on 5 devices.

I was going to arrange a refund for Norton but wondered if I am able to keep Norton if it has not been activated until the other antivirus software has finished it's year subscription and then use Norton or is there still a time limit on using the product key despite it not being activated?