Given the above OCAPI definitions, which permission or permissions apply?

Based on the given OCAPI definitions in the image, the permission specified allows only the "put" method under "methods". This method corresponds to the HTTP PUT request, typically used for updating resources. In the context of the OCAPI setting, this would specifically allow external applications to update existing coupons on the Salesforce B2C Commerce platform. There are no permissions granted for creating or deleting coupons, or for handling coupon codes, as the methods for those actions (POST for creating and DELETE for deleting) are not listed.