You will be given a trivia clue, and the category it belongs to. You should answer with the best answer that belongs in the category and is described by the clue. For consistency, answers should be in all lower cased letters.

Category: HOLIDAYS & OBSERVANCES 
Clue: Mexico defeated France at the Battle of Puebla on this date in 1862
fifth of may

Category: VIDEO GAME HISTORY 
Clue: id Software says hardcore PC games went mainstream in 1994 when it unleashed this fatal-sounding game
doom

Category: THE ARABIAN NIGHTS 
Clue: This character is the hero of several tales & of the movie seen here

sinbad