Final answer:
The NG tube is not used for support of patient breathing, as it is designed for feeding or stomach content removal, while Tracheostomy, Nasal airway, and Endotracheal tubes are used for respiratory support.
Step-by-step explanation:
The type of tube that is NOT used for support of patient breathing is the NG tube, which stands for Nasogastric tube. This tube is used for feeding purposes, or to remove the contents of the stomach, and is not designed for providing respiratory support. In contrast, the Tracheostomy tube, Nasal airway tube (also known as a nasopharyngeal airway), and Endotracheal tube are all used to maintain an open airway and support breathing in various medical situations.