If you have a diagnosed case of h. pylori I am assuming it was diagnosed by a gasteroenterologist. A blood test isn’t sufficient. You need the gold standard, a biopsy.
If you really do have h. pylori you need that acid inhibitor and a course of antibiotics. H. pylori is a bacterium and the cure is simple. Go to a specialist. Otherwise you could get some nasty complications.
I am, btw, Registered Nurse with a Bachelor's degree, and have every confidence in my doctor.