you are on inhale corticosteroid (ICS) therapy alone for only last one month. ICS alone not enough for treating bronchitis
. have you get pulmonary function test if not get it done today. you mentioned that you have metallic test when you expose to cold ; might be you have post nasal drip
secondary to allergic rhinitis
. It is advocate to individual who are having allergic or respiratory problem that better to avoid morning walk or expose to extreme cold.