Diablo 2 res: cross progression purchase question

Hello,

For diablo 2 resurrected progression between PC and console, do I need to purchase TWO copies of Diablo 2 in order for that to work ? If I buy it for Xbox and I want to switch to PC for example do I need to purchase another copy of it for PC to do the cross progression?

Thanks

Yes. You would need to buy a copy for each platform you want to play on.