Do you consider a c-section “giving birth”?

I’ve had two...and I don’t feel like I gave birth, I just had surgery :/ My first was an unnecessary, botched c-section and my second was a failed VBAC. I got pregnant with my third too soon to try for a VBAC again, so a third surgery it will be. I wanted to take one of those fist-in-the-air “I did it!!” photos after my third baby is born, because I never celebrated the first two deliveries because they were bad C-sections. But I feel silly saying “I did it!” if I’m having a c-section, because I didn’t do it- the doctor did. Does anyone else feel this way?? I feel like I ran a marathon without getting to cross the finish line. I don’t care that I grew my babies in me, I can’t stop obsessing over the deliveries. And yes, I’m in therapy...