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This is Dr. David
at your age and with your family history, most GI doctors would do an upper endoscopy for you.
you can also ask your doctor to check your stool for blood
stomach cancers would tend to bleed and cause black tar like stool
and there is also blood antibody tests and stool antigen tests which can check for H Pylori in your stomach.
you can also try to get another opinion from another GI doctor as well.
let me know if you have questions.