Alchemy Puzzle in Return of the Reanimator

By Roxysteve, in Mansions of Madness

The alchemy puzzle in this scenario is revealed as part of the objective. A player opined that since it wasn't a puzzle from a puzzle card or a lock card, the solver could "carry it" - getting out of a burning room and still having a chance to solve it in a different location to the place where it was "found".

All the other puzzles are locked to a location. Was my player right that the alchemy puzzle could be solved anywhere the discovering player chose to attempt it, or should he have stayed in the place it was found?