This is not like a covered bridge, of which there are a lot in Vermont, but an actual one-lane, floating bridge. It crosses Sunset Lake and is so quintessential Vermont, it defies understanding, that such a place actually exists.
Steam cleaning and dry cleaning may be necessary. If these measures fail, you need to get rid of your pet -- let your doctor be your guide. Removing other allergens may be easier, (emotionally anyway), dust mites, for example, can be controlled by diligent cleaning, again, especially in the bedroom. This includes curtains, blinds, and all bedding. Some sources recommend encasing your bedding in a plastic or rubber wrapping.
Get rid of dust, molds and mildew. Discard old rugs, pillows and stuffed animals,which provide breeding grounds for molds and dust mites. Air conditioners can decrease your exposure to pollen and a dehumidifier and an air purifier, cleaned frequently may help. Certain common foods can trigger allergies. Items like eggs, corn, wheat, yeast, dairy products, citrus fruit, and food additives and preservatives. Foregoing these foods for three weeks, then reintroducing them one by one, may help identify the source of the problem. Smoking exacerbates allergic reactions.