Take ambroxol tabletes if you have cough with sputum. It is a mucoactive drug with several properties including secretolytic and secretomotoric actions that restore the physiological clearance mechanisms of the respiratory tract, which play an important role in the body’s natural defence mechanisms. It stimulates synthesis and release of surfactant by type II pneumocytes.[1][2] Surfactant acts as an anti-glue factor by reducing the adhesion of mucus to the bronchial wall, in improving its transport and in providing protection against infection and irritating agents

Hello
Thanks for asking question to HCM.
As you mentioned in the query that you are having flu for 10 weeks .
Normally flu cures within 7-10 days , if it is .
In your case 10 weeks passed .
However desire of defaecation may be due to amoxycillin .
As you stated that still there is cough , this type of cough may be due to these possibilities , these include:
1 Chronic bronchitis , dry cough ( may be associated with mucus).
2 Tuberculosis , diagnosis can be confirmed by X ray chest and Montoux test , sputum , blood examination.
3 Allergy due to some allergen like dust , mite , pollen etc.
In my opinion consult a physician ( 2nd opinion ) and get his opinion.
Hope this will be useful for you.
Further , if any question I will reply happily.
Good luck.
Alternative supplements are an adjutant .