Seems like there's a clue in these statements. Engine is cold, driver gets in and starts engine, starts up normally(?), engine is running at normal AAR-controlled high idle RPM, (tachometer still broken so sound-based), driver gets out, engine runs for a certain amount of time (how long?), maybe to a certain engine temperature (how hot?), door is opened, driver gets back in, [undefined things happen (clutch pedal pressed (?), transmission put in to gear (?), clutch released (?)], engine dies. Engine is restarted and runs fine ? (not clear). Add some detail to "before I could press the gas to go" and what happens after it died. Might be something there. Sorry to be so pedantic, just wanted to detail my point.