I haven't played the new update yet, and I don't remember if "best match" is in the older content. Give me a bit and I'll try to figure it out.
EDIT: I found the "best match" that you are talking about, and am currently working on figuring it out.
EDIT 2: So as far as I can tell, "best match" is currently unfinished. So far the only content in that line is Charlotte and Yui discussing Lissette's old clothes that Charlotte can wear, and then deciding to investigate a bit by having Charlotte work as a cook for the Yakarobie. This looks to be an interesting story, and I cant wait to see where it leads.