How to Treat Cough with Excess Mucus in Infants?

An infant who is 70 days old started coughing a week ago, coughing several times a day; often with mucus but difficult to expel; the throat is red, without nasal discharge, and the temperature is normal. The child has been taking medication for a week, including bromhexine syrup, N-acetylcysteine syrup, ribavirin sprays for the throat and nose, antitussive and expectorant syrups, and nebulization with bronchodilator drugs to expand the airways, but the effects have been unsatisfactory. What should be done? Will it develop into lower respiratory tract disease? Will frequent coughing affect the development of its brain and other organs? The parents are very concerned, please experts answer generously, thank you!
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