I have an ancient World Mastercard, earning 1x on everything, with just over 4000 points accrued; I keep it for its credit score value. This week I was approved for a Premium Rewards card.

Can I combine the points from both cards at some point towards a single redemption? I'm okay with cashing out the older lot, concentrating on the Premium card as it's own discrete pool ("from scratch"), but thought I'd ask.