Chronic dry cough triggered by cold and late-night hours

Subject: Chronic dry cough triggered by cold and late-night hours (Looking for advice)

I am writing to seek your medical advice regarding a persistent cough I have been experiencing. Here are the details of my condition:

* Patient Profile: 18-year-old Male, Height: 5'7", Weight: around 90-100 lbs.
* Duration: I have had this cough for about 3 months now.
* Type of Cough: It is a dry cough (no phlegm/mucus).
* Pattern: It is not continuous. It comes and goes depending on certain triggers.
* Main Triggers: It severely triggers on cold or rainy days, after taking a long bath, or late at night. Specifically, when I stay up gaming, it usually starts flaring up between 12:00 AM and 3:00 AM.
* Associated Symptoms: I have not noticed any wheezing sounds, chest tightness, shortness of breath, or fever.

Due to the current situation and limitations in my area, I am unable to visit a physical clinic or see a doctor in person right now.

Could you please advise me on what type of cough or underlying condition this might be? Also, what over-the-counter (OTC) medications or home remedies would you recommend to manage this?

Thank you so much for your time and help.