Breakthrough pain is what you report, not what they do about it
The definition matters, because the wrong one makes the problem disappear.
Pain during a cesarean has a name in the anesthesia literature: breakthrough pain, or pain during cesarean delivery. It means you reported significant pain, or pressure so intense it was unbearable.
It is defined by what you say. That sounds obvious and it is not. For years the problem was counted by what the team did about it, so a cesarean where you hurt but were given extra medicine, or put to sleep, was recorded as a treatment rather than as pain. Counting it that way makes most of the pain vanish from the record.
The anesthesiologists who study this now state the rule plainly: it is a patient-reported outcome, and it must not be defined by the interventions used to mitigate it. Your account is the measurement. Nothing the team does afterwards changes whether it happened.