puzzle vs befuddle

puzzle is a noun but befuddle is not a noun.

Word	Noun	Adjective	Verb	Adverb
puzzle	Yes	No	Yes	No
befuddle	No	No	Yes	No

As verbs, befuddle is a hypernym of puzzle; that is, befuddle is a word with a broader meaning than puzzle:

puzzle: be a mystery or bewildering to
befuddle: be confusing or perplexing to; cause to be unable to think clearly

Other hypernyms of puzzle include bedevil, confound, confuse, discombobulate, fox, fuddle, throw.

puzzle (noun)	befuddle (noun)
a game that tests your ingenuity
a particularly baffling problem that is said to have a correct solution

puzzle (verb)	befuddle (verb)
be a mystery or bewildering to	be confusing or perplexing to; cause to be unable to think clearly
be uncertain about; think about without fully understanding or being able to decide	make stupid with alcohol