I believe it is not possible to have it due to EU regulations, or at least there aren’t any proper ones right now. You can read some discussions about this on Privacy Guides’s discourse, like this one for example: https://discuss.privacyguides.net/t/card-masking-tool/15342

I think the TLDR is: use your own bank’s card, as you will always end up with a card which is tied to your identity, so better give that info to as few bank institutions as possible, you gain no advantage by signing up with someone new. On the other hand, if you need to convert and the fees are atrocious, then you could look into Revolut and others like that, but that doesn’t really help your privacy, no matter how many virtual cards you make, since they’re all in your name anyways