For the same reason that you can eat and swallow while upside down.
Food is pushed down your throat and into your stomach by peristalsis (squeezing of the throat to push the food towards the stomach). There are valves at both ends of the stomach that ordinarily keep food in (the one to the intestines opens when the food is ready for its nutrients to be absorbed into the bloodstream). Of course, the top valve can be reopened (stomach pump, vomiting etc.) but gravity on its own won’t cause acid to float up from your stomach.
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