Solution: The Lernaean Hydra
Answer: BOOGER

Written by Justin Melvin

When a team solves a hydra head puzzle, the hydra grows back multiple heads (=puzzles), sending a bunch of notifications to everyone else on the team. The number of heads unlocked varies with each type of head. In addition, the order of unlocked heads is consistent throughout (in alphabetical order by answer). For each answer to a head puzzle, there is a corresponding transformed version that matches one of the clues given in The Lernaean Hydra once the "head" of the answer is "cooked."

Head answerCooked answerCorresponding clueNumber of heads unlocked upon solveIndex letter
DOUGHNUTBREADNUTEvergreen fruit1B
CORNBALLPOPCORN BALLHalloween treat5O
WOODBLOCKCINDER BLOCKFireproof construction unit9O
STONERMAGMARPokemon3G
WATER WHISTLESTEAM WHISTLEThomas the Tank Engine feature3E
SAND LIZARDGLASS LIZARDLegless animal10R

Giving the final answer,

BOOGER

Author’s Notes

This puzzle is proof that dumb jokes are excellent fodder for adding to one's puzzle.txt of ideas. When I saw that the Classics round needed another puzzle, I jumped on figuring out how this would work. Originally there was going to be a cap on the number of hydra heads that a team could unlock, but it turned out to be more satisfying if there really were potentially infinitely many of them. Internally, this is modelled as a set of a hundred or so puzzles that wrap around (and unsubmit answers, re-lock puzzles, all kinds of ill-advised things). This was definitely a truly terrifying beast of a thing to get to work with gph-site, with numerous special cases peppered throughout the code. I hope that there were some groans or laughs when teams got sent a cascade of unlock notifications.