Should my baby get seen?

He’s been mucous-y for over 3 weeks now. He’s had a bad cough for 3 days now, like how dads sound when they’re getting ready for work at 6am. Those loud deadly coughs. Lol.

He was coughing hard he puked one time; but when he coughs hard it always sounds like he could puke. 🙁 I have a humidifier going for him at nights but it doesn’t seem to help.

** my baby is 12 weeks old