Is it to the point where I need surgery for that protruding mouth..?

I don't think my mouth sticks out that much, so I'm just having my wisdom teeth extracted and correcting them. However, during orthodontic treatment, I thought that perhaps my protruding mouth would not be corrected even without tooth extraction, so I asked, as an intellectual, if it would be possible to correct my protruding mouth with orthodontic treatment without tooth extraction. But they say it's more than moderate and I need surgery. I really don't want to admit it, but is it sticking out that much..? I'm not sure when I look at it, but the more I look, the more it seems to stick out. I'm a little confused, so I'm asking.