I struggled all week to get past the first four atoms of the output until I discovered what I'm calling the "phantom atom" technique, which blew the puzzle wide open, and also blows off the ears of anyone listening to the puzzle run.

The phantom fire atom lies directly on the disposal output, so it never exists during collision checking, and is effectively intangible.

Don't read (explanation of overlap):
The only part sensitive to glyph order is the disposal, which must be above the purification and unification glyphs. Other than the phantom atom and using half-access antibonder to load the purification glyph, overlap is only needed for re-using access points, and the rest of the solve is standard.