To confuse thoroughly; to bewilder or perplex completely (archaic or humorous usage).
From confuse + -fusticate (a playful or archaic intensifying suffix). This appears to blend confuse with obfuscate or similar Latin-rooted words, creating a deliberately grandiose or comic effect, popular in 18th-19th century English.
Confusticate is a 'Scrabble player's delight'—it's a real but archaic word that sounds made-up, like something Mark Twain or P.G. Wodehouse invented for comic effect, but it actually appears in historical dictionaries as a legitimate (if rarely used) English word.
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