Fawkes tirou Dumbledore do escritório usando magia fênix.

Fica claro no livro que Fawkes foi o responsável pelos desaparecimentos repentinos dele e de Dumbledore. Dumbledore agarra a cauda de Fawkes, então eles desaparecem em um flash de fogo.

“Fawkes circled the office and swooped low over him. Dumbledore released Harry, raised his hand and grasped the phoenix’s long golden tail. There was a flash of fire and the pair of them were gone.

‘Where is he?’ yelled Fudge, pushing himself up from the floor. ‘Where is he?”
_{^{- Harry Potter and the Order of the Phoenix, Chapter 27 (The Centaur and the Sneak)}}

Dumbledore controla o encantamento em Hogwarts que impede os magos de aparatarem e desaparatarem lá, então ele pode facilmente levantá-lo temporariamente para se aparatar ou desaparecer.

“As you may know, it is usually impossible to Apparate or Disapparate within Hogwarts. The Headmaster has lifted this enchantment, purely within the Great Hall, for one hour, so as to enable you to practise. May I emphasise that you will not be able to Apparate outside the walls of this Hall, and that you would be unwise to try.”
_{^{- Harry Potter and the Half-Blood Prince, Chapter 18 (Birthday Surprises)}}

No entanto, apesar de ser possível que Dumbledore aparecesse enquanto estava em Hogwarts, isso não aconteceu quando ele e Fawkes escaparam de Fudge.

Aparição não tem um flash de fogo quando um bruxo desaparece, há apenas um pop e eles se foram.

“With two loud cracks, Fred and George, Ron’s elder twin brothers, had materialised out of thin air in the middle of the room.”
_{^{- Harry Potter and the Order of the Phoenix, Chapter 5 (The Order of the Phoenix)}}

No entanto, quando uma fênix usa seu poder para desaparecer, há um flash de fogo.

“Dumbledore was now stroking Fawkes’s plumed golden head with one finger. The phoenix awoke immediately. He stretched his beautiful head high and observed Dumbledore through bright, dark eyes.

‘We will need,’ Dumbledore said very quietly to the bird, ‘a warning.’

There was a flash of fire and the phoenix had gone.”
_{^{- Harry Potter and the Order of the Phoenix, Chapter 22 (St Mungo’s Hospital for Magical Maladies and Injuries)}}

Isso prova que, enquanto Dumbledore e Fawkes podem aparatar e desaparecer em Hogwarts, Fawkes foi o responsável por aquele desaparecimento específico de Fudge e Umbridge.