The higher you go in elevation, the less Octane the engine needs. The Octane rating refers solely to the AKI (anti-knock index) of a particular gasoline.
That's why Regular (which is what a stock 3rd gen is designed to run on) is 87 r+m/2 Octane at lower elevations. While at high elevation, Regular is 85 r+m/2 Octane.
Less air pressure at high altitude, means less cylinder pressure in the combustion chamber. With less cylinder pressure, there is less chance of pre-ignition (knock).
If the engine isn't experiencing knock on Regular gasoline, Ie: the computer isn't sensing knock, and retarding the ignition timing in response to knock, using a gasoline with a higher Octane rating will do nothing for the engine. You will just be wasting your money on higher octane gas.