Did you read the article about bile reflux:
https://www.mayoclinic.org/diseases-conditions/bile-reflux/diagnosis-treatment/drc-20370121
The article has some suggestions, discuss it with your doctor.
I wonder if Gaviscon would help you (until you find another long-term relief)? Have you tried that? It works well with acid reflux to make you feel better by putting a block at the top of the stomach to prevent it from coming up via the esophagus.