I didn't know vetvimes was a thing until I read Feet of Clay and i- These were the easiest ones to find in plain sight but it wasn't just quotes it was the Vibes from their convos. Also,"The Patrician's hand covered his mouth for a moment" imagining him hiding a giggle behind his hand like a schoolgirl do you see my vision here
ladies, gentlemen and variations thereupon I've just come to a very important realization. which is, that the 60th dw specials parallel series 4 with 10 and Donna (particularly the RTD episodes)
I can't really explain it but basically;
the star beast = partners in crime (aliens on earth + vibes)
wild blue yonder =midnight/turn left(cosmic horror, introspection)
the giggle = stolen earth/journey's end (return of a classic enemy)
this struck me when i realized the vibe and the music of the opening of the star beast reminded me a lot of the partners in crime opening