Three minutes to start up and reach Take Off RPM.....not a rush job in modern Twins with FADEC's.
As the Pilot had flown the aircraft on several sectors that day already....there is no requirement for a full run-up systems checks.
If the radios and and nav systems had been pre-tuned and set up for the intended flight....it would just be a matter of turning them on.
To make a point about "time"....I once worked a job where we had to be airborne within two minutes of the Alert Klaxon sounding....and that included up to a fifty yard dash to the helicopter.
That is rushed.....sitting in the aircraft and strapped in and ready to hit the Battery Switch....three minutes is not.