You could just buy a generic giftcard (like Amex one) and use it to make the actual purchase.
> We also use Cardholder Information for marketing purposes and to conduct research and analysis. We may provide certain Cardholder Information to companies, including our affiliated companies that perform business operations or services, including marketing services, on our behalf. We may provide certain Cardholder Information to others outside of American Express as permitted by law, such as to government entities or other third parties in response to subpoenas. We may develop marketing programs and send you offer for products and services. We do not share customer addresses with other companies for them to market their own products and services.
https://assets.ctfassets.net/2x5vcnvffh4i/7it0e2T8WQ8fl4DmkL...
Another comment mentions privacy.com as a solution. I've actually thought of creating a little terminal program to leverage it because it's a neat product and super cool they're maintaining a well-defined API for it.
All this ultimately bums me out though. Jumping through so many hoops to avoid this intrusive (and increasingly default) behavior can't be good for mental health. Plus where do you draw the line? When it's so widespread and largely unaccountable while everyone is saying it's up to the individual to avoid it, it really starts to feel rather quixotic trying to take measures to protect yourself.