2 Ways to do this Consistent way: Jump down after getting the mine key from turkey boy. Then jump off the ledge that you see in the video above and die on the right side ledge by the mine door. You collect the respawn point behind the mine door by doing this and will then come back to life right next to the mine door. You then transition to the bunny discovery and can menu and choose the respawn point that is made after this. And bingo bango bongo you have skipped 3 mins of the game by dying!!!
Inconsistent Way: This is how I got this to work. Start the generator and let the bridge drop. After this jump across and drop the other side of the bridge. Get the turkey man to rev up his jumping thrusters, or whatever Compy said lol. While he is doing this discover the goop on the elevator. Turkey man will walk the wrong way if you are the level below so jump back up and let him walk towards you. Drop back down and let him talk to you from the level below. Jump back up and talk to him about his maps ( when he throws the paper dont grab it). Walk with him to the lever and talk about the missing elevator. Stay with him and talk to him again to receive the key for the mine door. After this grab the paper and get to the respawn point before the menu pops up for the map. Ive only gotten this by dying twice. Drop down without hitting the right ledge and die. Then do the same step but hit the ledge and you will be death warped to the mine door because of the respawn point. You then should open the door without the transition. We arnt sure at this time what really causes this to happen but its something involving the Turkey Man.
Goodluck running. Hope this helps someone!!!