How do you bleed air out of the cooling system of a 2001 Oldsmobile Intrigue 3.5 liter engine?

The 2001 General Motors (Oldsmobile Division) Intrigue came equipped with the 3.5L engine and 4-speed automatic transmission FWD. One method of purging air from the cooling system after repairs and flushing it involves refilling it, and running the motor and heater, and leaving the radiator pressure cap off to 'burp' off the air trapped inside.