6 month old has a cough and running nose. What do I do?

Baby is coughing and has raspy coughs 😭 it’s so sad to see baby crying because you can hear a raspy cough caught up in throat and baby don’t know to just cough it out. I’m doing everything I know. Vapor drop in humidifier, vapor chest rub, warmer milk then room temp, chamomile tea (pediatrician approved), and warm socks. Basically all I can think of. Should I start cough syrup? What else can I do? Recommend why things good! Cough syrups and etc! Thank you!