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No. Please take Tuffy to see you nearest emergency vet hospital as soon as possible. Albuterol is not a treatment for tracheal problems. It does nothing for the trachea, as that it only works on the bronchioles. Besides, you have already given him one, and it has not worked. It is likely that you and Tuffy have quite different problems and the same medications will not do Tuffy any good.
If Tuffy is gasping, he is showing signs that he already cannot get enough oxygen into his body. Which is why you need to go the vet right away. They will be able to give him oxygen and help with his trachea.