Hi.
Your symptoms are suggestive of either allergic or post-viral cough. Different cough syrups have different contents and no cough syrup can be used for all types of cough, hence it is best that they are used only after a prescription from a doctor. Since your symptoms have persisted for nearly a month, it is best that you visit an ENT specialist near you for detailed evaluation and correct medications.
Warm regards, Dr Aanchal, Therapeia centre, Bangalore
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