185 Game Time seconds = 3:05 minutes

EDIT: Runs use the Real Time Attack (RTA) timing convention, meaning runs are timed using an external timer. Timer starts as soon as you assume control of the dungeon and stops as you press space at the end of the level.

According to the video you assume control at 0:07 and hit spacebar at 03:30 meaning your run time according to the rules is 03:23.

/GingerNaTT