Automatically sort list from index/match formula

I'm using the following array formula to generate a list of unique names from an original list where a name can appear multiple times.

INDEX($B$3:$B$13,MATCH(0,COUNTIF($D$2:D2,$B$3:$B$13),0))

Works great, BUT, I need the new list to appear in alphabetical order, right away (in column D), or copied to another column and sorted. It would be simple to do manually, of course, but the original list will change from time to time, so the sorting would need to happen "magically"!

Thanks so much in advance. I've enclosed a simple example.

Mae
Auto sorting question.xlsx