How to Treat a Child’s Dry Cough Without Phlegm?

A nine-year-old child has been experiencing a dry cough without phlegm for over ten days. The cough is worse upon waking up in the morning but less severe during the day. A hospital check-up showed no issues, and the child is currently taking Amoxicillin. Is this appropriate? (I suspect it might be due to kicking off the blanket while sleeping at night, could that be possible?) Please assist, thank you!!!
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