Is it ok? Or am I being a baby??

So I need to have a wisdom tooth pulled. It's almost completely out of my gums from normal growth, but it's starting to push on my other teeth and its uncomfortable. They said they also will be seeing where my other 2 are sitting (I only have 3) and might take them as well if they can. They said it won't hurt if I just have numbing meds and gas and get it taken like a regular tooth pulling. The thing is I am scared, queezy, and do not do well with things like that. I am already scared of the dentist (for unknown reasons, I just am). I'm pretty sure they can put me under because he does dentures as well and did my moms and put her under to remove all of her teeth for her dentures. Is it ok to ask and have them put me under for my removal(s)? Even if it is just the one. I just know I will panic because I am just thinking about it. Or am I being a baby and should just let them pull them (it)?