Hi Sheep,
I`m sure others who are AME`s/doctors will give you the correct advice (along with your GP).
I developed GORD in my 30`s and continued flying commercially, with some discomfort, for many years.
Flying was never a problem (I didn`t do any negative g aero`s), but the airline lifestyle was.
Constantly changing shift patterns, not being able to eat when arriving at a hotel (due to needing several hours between eating and being able to lay down).
Eventually on Omeprazole I`m back to almost normal. My AME was happy with this medication controlling my condition, (I`m now retired).
If you have had acid reflux for any length of time, I`m sure medics will advise having your osophagus checked for any cell damage.