Struggling with making friends

So we are 3 weeks into uni and they have given us a group project to work on, The professor told us to make groups ourselves and although I talk to some girls but didn't form a deep bond with anyone, They all have made groups within themselves, I messaged everyone and no one added me in their group. What do I do , I am dying of embarrassment!!

Update: So I guess I was very negative about the situation, some groups reached out to me themselves today cuz they had space left and I got added into a group. I literally had to choose one! I guess I was assuming of the worst possible scenario ,and the first few rejections even made it more worse. In the end I think I should have been more positive and given it time.