boyfriend doesn't like cuddling? 😞

Esme • 29 💗 Occupational Therapist🤸🏻‍♀️🎨🌸
Hi there, I've been with my SO almost 3 years. Since the beginning of our relationship, he has made it clear he doesn't like to cuddle. Not after sex, not while we're watching a movie, not even when I tell him I'm cold. Sometimes he'll do it just to make me happy after I've badgered him enough but then he'll switch positions after 5 minutes. I've asked him many times during our relationship why he doesn't want to cuddle EVER and his answer is he just doesn't like it. But I just need to feel his warmth and his touch sometimes.. Is this normal for a guy? What should I do? It really makes me very sad that he won't be physically intimate with me 😞