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You got me. Technically, both spellings are correct, but the words mean different things. I goofed. you caught a usage blunder rather than a spelling blunder:
USAGE The words discrete and discreet are pronounced in the same way and share the same origin but they do not mean the same thing. Discrete means ‘separate, distinct’ (e.g. a finite number of discrete categories), while discreet means "careful, judicious, circumspect" (e.g. you can rely on him to be discreet).
Thanks for keeping me in line!