It is normal. If sweating is excessive during the cold weather or in the air-conditioned room when everyone else is feeling cold... Please see a Paediatrician for thorough evaluation.
However if it's mostly while breastfeeding, there is no need to worry as SUCKING IS HARD WORK so it is OK TO SWEAT"

Kindly take your child to the hospital for proper evaluation.

Its perfectly normal. It will be a source of concern if the baby is sweating in ice-cold environment. Sweating depends on the ambient temperature and how much of covering you do.

(Hyperhidrosis) is not so common but it does exist. Keep your child hydrated, give alot of fluid preferably water. Reduce the temperature of the AC more so as to make the room cooler If you are still bothered about the sweat, visit a paediatrician to confirm if it's a case of true hyperhidrosis.

The case of excessive sweat (hyperhidrosis) is not so common but it does exist. So I'll say relax, dress your child light, singlets and sleeveless bodysuit should be the wears for this weather. Keep your child hydrated, give alot of fluid preferably water..

Your child needs to see a paediatric endocrinologist for a proper evaluation.