What an unfortunate piece to go missing. Can this really be a coincidence? What's even the point of this strange puzzle? Will Beautiful Parrot ever find sympathy for Parrot? I guess we'll have to wait for the next comic in this little series.

In case you don't understand what this is all about, look at this comic and then at this comic for context.

Panel 1:
Parrot and Beautiful Parrot are at a table in the university. In front of them are two jigsaw puzzle boxes.
BP: I think I have to make one thing clear first: We are meeting to get behind this jigsaw puzzle mystery. This is not a date. Is that absolutely clear?
P: sigh
Panel 2:
P: Yeah, did you think I’d go and get my feathers done, polish my beak, clean up my apartment and walk up and down nervously for two hours prior to this? Because I absolutely didn’t ...
Panel 3:
BP: Let’s just do the puzzle and get this over with.
Panel 4:
after some puzzling:
P: So strange that it shows us in some kind of ancient temple, looking at ... an ... uhhh, do you see that last piece anywhere?
Panel 5:
The puzzle shows both parrots, sitting on columns in an ancient temple. They are looking at a third column, that appears to hold an important object. Unfortunately, the piece that would depict that object is missing.
Panel 6:
BP: Just great. I should have known you’d loose a piece. I’ll take the puzzle home, you go and find that piece. Don’t text me until you found it. Understood?
P: Aye aye.