GrumpyCrouton's solution is probably neater, but here's another way. Basically you put all the values into a single string, and then use string functions to do the work.
Code is commented with explanatory notes:
<?php
$array_words = ['harmony', 'Acrobat', 'harmony', 'harmony'];
$array_words_unique = array_unique($array_words); //get a list of unique words from the original array
$array_str = implode(",", $array_words);
foreach ($array_words_unique as $word) {
//count how many times the word occurs
$count = substr_count($array_str, $word);
//if it occurs more than once, remove the first occurence
if ($count > 1) {
//find the first position of the word in the string, then replace that with nothing
$pos = strpos($array_str, $word);
$array_str = substr_replace($array_str, "", $pos, strlen($word));
}
}
//convert back to an array, and filter any blank entries caused by commas with nothing between them
$array_final = array_filter(explode(",", $array_str));
var_dump($array_final);
Demo: https://3v4l.org/i1WKI
Credit to Using str_replace so that it only acts on the first match? for code to replace only the first occurence of a string inside another string.