Will you feel pain under IV (intravenous) sedation?

I’m planning to have an impacted horizontal third molar extraction and I want to feel as little pain as possible. Will I feel pain under IV sedation? Will general anesthesia be overkill?
Thank you so much!

note my last molar extraction was excruciatingly painful especially when the bone was being pressurized with the water spray. I think that had something to do with the nerve endings.