Hey Anton,
I believe this would be a question best-asked to PlayStation Support directly, as while Assassin's Creed Valhalla supports the next-gen upgrade, we don't control the system's inner workings, nor have insight into them.
I don't think the upgrade is to be treated as a DLC - more like an update - but it would be best to check this with them.
If you bought a digital version of the game, I don't believe there would be any issues with upgrading as the upgrade would be delivered by the same PlayStation Store as you made your purchase from, but as you are contemplating purchasing a physical version, contacting PlayStation Support for assistance would definitely be my recommendation.
If you have any further questions, please don't hesitate to get in touch over on our new Assassin's Creed Valhalla forums here.
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