If this is what is in your cough syrup I don't think it should effect your cervical mucus in a negative way however everyone can react differently. The Ammonium Chloride is listed as an expectorant so if anything it should thin and increase your cervical mucus vs drying it up. That being said I'm not sure if the ingredient list above is accurate to what is in your cough syrup. If you post those ingredients and if it says what they are for ex. expectorant vs decongestant etc. I would be able to give you a better response.
Rule of thumb is that if the medication can cause dry mouth or drying up of other secretions then it can certainly dry up cervical mucus. If it thins others then it often thins cervical mucus etc. Most pharmacists won't be able to to tell you the fertility specifics but if you ask them if it causes dry mouth that's usually something they can answer for you. Good luck!! I
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