IS often see such kids with repeated cough
. In adults it doesnot need tests for TB but in kids it is often related to tonsils adenoids
With backgrund of birth history there is a possibility of chronic lung issues which often need specific evaluations like CT chest and specific therapy.
is another common cause of such cough. Symptoms need to be charted for a month on a breathig diary ( easily available in google search, )to reach to such diagnosis.
Do not hesitate to call or refer back.