Wait, what EXACTLY happened during Unite Synchronization?

Synchronize: Dirk leaves Sawtooth at his place to finish entering then flies to Roxy’s house with Squarewave.  He kisses Roxy so her dreamself wakes up. He teleports a bucket back in time.  Then he decapitates himself sending his head to an unconscious Jake, leaving Squarewave to bring Roxy’s house into the medium.

Between the two flashes Jake wakes up and talks to Lil’ Hal about kissing Dirk’s severed head which he ends up doing waking up Dirk’s dreamself.

Unite: Dirk and Roxy’s dreamselves are now awake on a flaming Derse with Jane’s dead body. Dirk kisses Jane so her dreamself wakes up. Jane then wakes up on Prospit and goes through a teleporter that takes her to the frog temple on Jake’s island.  Dirk and Roxy fly to the frog temple in the Medium and enter the lotus time capsule that sends them back in time where they exit on the frog temple on Jake’s island.  They grab Jane and fly to where the bucket that Dirk sent back in time and then go to where Jake is unconscious.  Dirk then takes the bucket dumps water on Jake so he wakes up and is able to kiss Dirk’s severed head allowing the whole flash to happen.  Then they all enter the medium from Jake’s house.