I was given a choice of LA or a light GA. I opted for LA, which was absolutely fine, but wished I’d gone with GA. The reason being that they found a polyp, but wouldn’t remove under LA, so I had to go back 2 weeks later for polypectomy under GA.
If I’d had the GA it would have all been sorted in the one visit.
Don’t worry, just relax, and if you’re anxious, ask if GA is an option.