WooCommerce as headless CMS – payments via plugin

Hey All,

I'm not sure how big the market for this is, but does anyone have any experience using WooCommerce as a headless backend, and specifically with payments/orders?

I'm creating a custom front end for a client and using their WooCommerce/WP as a headless backend/CMS, and I've had a ton of success so far with most things (products, rendering articles, etc.).

Now I'm getting to the point where I need to start focusing on payments, and I'm kind of lost for next steps.

I guess my question is: Is it possible to integrate the actual WooCommerce payment gateway plugins (Clover and Paypal) into my custom front end just with the WC or WP api? Or do I have to do a custom implementation of the payment gateways in my code and then configure them to communicate with WC post-payment for ordering? I'm hoping option A is possible, and dreading option B D:

I've found the WP/WC api endpoints for retrieving/updating payment gateways (and seemingly just returning info about them), but I haven't found any documentation related to actually making payments.

Thank you for your time!