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Ultimately the problem isn't entirely solvable by tuning. There's less oxygen (and everything) in the air at higher altitudes so without something to force more air into the cylinders you're going to see limitations.
I would assume the ECU correctly accounts for altitude by adjusting the fuel ratio accordingly, but less oxygen means you need less fuel for the same ratio, which means there's less power potential in each cylinder ignition. To regain that power you either need more air (forced induction) or more energetic fuel (like E85).
This is actually one of the factors that made Hill Climb events interesting/challenging for participants. Simply tuning a car to be powerful enough to make it up a mountain without running like garbage at the bottom or the top was one of the deciding factors between winners and losers. Many if not most modern cars can adapt as elevation changes but physics is still physics.
On any given air-burning fuel, the fuel can only do as much as it's supplied oxygen to do it.
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