Division Control

An incarnation of Tecteun referred to a Time Lord ship outpost located outside any of the universes of the multiverse as being Division, Tecteun referred to it as a bridge because it was made to leave the universe and go into the next, leaving previous universe behind.

After setting the Flux in motion, Tecteun prepared to move on from her original universe, taking seeds into a seed vault. Accompanied by an Ood, she sent a Weeping Angel Extraction Squad to kidnap the Thirteenth Doctor to ensure she would not attempt to save the universe or discover the truth about the Division. (TV: Survivors of the Flux)

Behind the scenes
Although no name was given to the spacecraft on-screen, an interview with production designer Dafydd Shurmer printed in SFX 350 referred to it as "Division Control" and "Division Biodome".