How much alcohol does it take to start feeling warmer?

It's my friend's birthday and we're going to a pub. She's invited someone that I haven't seen in a long time, and I also hated her for a long time (I don't hate her anymore) so i'm quite nervous about going and I don't want to but today isn't about me it's about my friend. I know they'll be dressing nice n all and I don't want to be the odd one out wearing layers and looking like i'm ready to go camping, so i'm going to dress nice too, the only problem is i'll be freezing until we get to the pub. Because i'm nervous about going I'm planning on drinking beforehand to loosen up, but I only want to drink like 2 beers - enough to loosen up and not be tipsy basically (btw 2 can get me quite drunk-tipsy but i'll be drinking them slowly), and I was wondering if 2 is enough to help my body warm up? It won't be a dramatic change in temperature obviously but I'd just like to know if it would do ANYTHING to my body temp? P.S I asked my sister if I could take one of her anxiety pills and she said no, so drinking is my only option.