If you use dairy, try stopping it. Consider putting a water filter for your house or at least your shower that specifically filters out chlorine and, if your city adds it, chloramine. These are very hard on the lungs from what I read. When you use water and especially shower, the fumes get into the air and can worsen asthma. Thirdly, if you have acid reflux, that can cause asthma too. See a gastroenterologist to see if you have GERD or Celiac disease, which also causes heartburn, and I assume, can result in asthma.
Hello and hope you are doing well.
There is an entity called exercise induced Asthma, here as the person starts exercise, the changes in the environmental air breathed in trigger an attack of asthma, causing cough and breathlessness. Have yourself evaluated for the same. This can be detected by a spirometry test.
Hope this helped and do keep us posted.