I have some experience with crypto payment systems.
From my experience kyc and aml is required when issuing white label cards.
Regarding setting up your own payments network I can add that our team also adapted a standard POS device to accept any currency from the crypto exchange (the promotor of the project). There was an MVP and the POS price was around 400 usd. The plan was to franchise a bank in a box business around the world.
The 3rd product of the payment network was a small crypto atm. They can be white labeled. If you DYOR you can find small desktop sized entry models around 500 usd - 2 ways.
ATM cards are the wrong way to go if user wants to keep 100% private. Those days were gone 10 years ago.
Building/integrating something like Ramp Network (uses open banking from TrueLayer if I am not mistaken) inside the incognito app could work. This would ID users when they on/off ramp fiat but then automate shielding.
The POS and ATM machine are easy and cheap to build the hard part is adoption⌠Turning them into a payment system franchise.