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 or
sinusitis. It is advocate to individual who are having allergic or respiratory problem that better to avoid morning walk or expose to extreme cold.