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I don’t know how old you are but I first started teaching aviation in 1987, with one of the lessons about how flight instruments function, including a pressure altimeter. So thanks for the brief reminder.
A divergence between pressure and GPS altitude has no impact on lat/ling position. GPS altitude is almost always inaccurate, which is why the military still insists everyone referenced pressure altitude. If GPS altitude is to be used for altitude reporting it has to be modified/corrected with an offset formula.
You’re my hero... salute!