Here's my TLDR of this Tsuki ga Kirei Special:
If you recall those funny shorts that were screened at the end of the episode (not all episodes had this, but most did) there are an additional 15 minutes worth of new and different shorts. Nothing special like a new OVA or continuation after the main events, but extra shorts that weren't able to be included in the aired season.
All of them gave me good laughs, unfortunately none of the shorts contained a certain couple together that we love the most.
Great shorts Feels Studio. I would hope someday that with the BD sales that were racked up, we could see a potential OVA in the near future :)