would you give your twelve week old baby calpol?

Ra
My baby boy is twelve weeks old. He has a bit of a cold but has quite a bad cough which is irritating him at night. He is still taking his feed , maybe an ounce or two less per feed. I'm having to give him water during the night to help him stop coughing. Which is resulting in his poo being a bit looser (4 dirty nappies today). 
Do you think it's safe enough to give him calpol tonight to help settle him incase he has got pain with coughing?

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