PART TEN: THE DROUGHT OF LIVING DEATH
It's all in there. We just need to put it together.
HP-1, page 137, Snape spoke of
"...the beauty of the softly simmering cauldron with its shimmering fumes, the delicate power of liquids that creep through human veins, bewitching the mind, ensnaring the senses... I can teach you how to bottle fame, brew glory, even STOPPER DEATH -- If you aren't as big a bunch of dunderheads as I usually have to teach." He also mentioned that "...asphodel and wormwood make a sleeping potion so powerful it is known as the DROUGHT OF LIVING DEATH. A BEZOAR is a stone taken from the stomach of a goat and it will save you from most poisons."
The Drought of Living Death is the potion Harry made (HP-6, page 18

that won him the Felix Felicis. It is also mentioned again at Slughorn's party on page 319.
HP-6, page 608,
"Dumbledore's EYES WERE CLOSED; but for the strange angle of his arms and legs, he MIGHT HAVE BEEN SLEEPING."
Dumbledore took some of the wormwood / asphodel potion; the Drought of Living Death,
and Snape carefully planted the sleeping Dumbledore at the foot of the tower.
The bezoar probably did not do the whole job, and Fawkes had his work cut out for him this night.
When the time caught up with him, Snape slipped back into that empty room to wait for Draco. When the first Snape slipped in, the second Snape passed him and slipped out, rejoined Draco and proceeded out through the gate.