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The answer would be medulla oblongata

Medulla is the lowest part of the brain stem which has a role autonomous nervous system. Medulla is important to sustain life as it controls the blood pressure(vasomotor), respiratory system and cardiovascular system. It also controls many reflexes that related to cranial nerves like gagging reflex.
BioWizard
The most caudal part of the brain, the medulla oblongata, is continuous with the spinal cord. Medulla oblongata responsible for autonomic (involuntary) functions like vomiting, sneezing, breathing, swallowing and heart rate. Medulla also helps transfer neural stimulus from the brain to the spinal cord.