The story describes classic stories from Greek mythology with the characters missing, starting with Heracles’s first task of defeating the Nemean Lion. As Heracles is the great-grandson of Andromeda and Perseus, the story then describes how Cassiopeia’s boastfulness and Cepheus’s ineffectiveness required Perseus and his steed Pegasus to save Andromeda from the sea-monster Cetus. Each bracketed number corresponds to a character that is also a constellation of the night sky (numbered in alphabetical order).
The Greek string for each character is a sequence of Bayer designations, the most common way of naming stars in a constellation (e.g. Alpha Centauri). Connecting the dots of each sequence within each constellation constructs a polygon that contains exactly one Bayer star and thus one Greek letter. (See below for examples.)
Extracting these enscribed letters, we get:
|ID||Story Order||Mythological Figure||Constellation||Greek String||Enscribed Star|
By ordering via the positions that the IDs appear in the story, the extracted letters read “νεφελωμα”, which, translated from Greek, is our solution,