Is smoking tobacco considered a breaking of a vow to quit smoking, while allowing other types of tobacco (such as cigars and shisha) within the vow?

Smoking is Islamically forbidden. Vowing to abandon it is not considered a valid vow by the majority of scholars because it falls under the category of vowing to perform an obligation. This type of vow does not necessitate an expiation (kaffarah) if it is not fulfilled; rather, it requires repentance and a firm resolve to perform the obligation. The reference for oaths and vows is the intention of the one swearing. If there is no intention, then the underlying reason for the vow, then its specific designation, and failing that, its meaning in Islamic law, then in common usage, then in linguistic terms.