I, too, learned it many years ago as resumé. That spelling and the spelling "resume" mean two different things. And, referring to pronunciation, résumé and resumé are TWO entirely different things!! --Unfortunately, with the advent of the Internet (now, lazily typed as 'internet", I do not put much stock in the dictionary, either. If something is misspelled enough, then it shows up in the dictionary.

Former newspaper managing editor, freelance writer
and advocate for the correct use of the "'s" -- It's NOT "business's" (--yes! I've seen it! in nationally published print!)

Wisconsin