Constantly attached

I’m not sure what to do anymore. My LO is 3 weeks old and I can’t put him down for more than 10-30 minutes (usually doesn’t take that long) without him starting to cry again. I’ve tried the swing, music, tv and he rarely takes the pacifier. I have been EBF since he was born and he does comfort nurse but he mainly falls asleep on me after a short while. I’ve tried moving him immediately and I’ve tried waiting until he’s in a deep sleep and no luck. He still wakes up crying/whining usually after 5 minutes and isn’t satisfied until I pick him up and hold him.

Any advice?

*we do co-sleep because it’s the only way for me to get sleep. If I put him down at night he will only sleep for an hour or so by himself before he wakes back up wanting to nurse more.