And definitely you will most likely get infected by a different runny nose virus, since there exist 300 different cold infections. However you will never get the exact same cold virus that you had previously because you have created resistance to that cold virus.

Parents have previously had a lot of the runny nose infections. Adults have acquired resistance to the ones they have had. So there are not as many runny nose infections remaining for parents to become infected with. That is why grownups only get infected with a couple of runny noses each year and kids may get 10-12 runny noses per year.
https://www.scribd.com/document/504916681/382626Fighting-HPV-Naturally