I think some of you have failed to study the source material on tribbles.
We know - they consume (grain and foodstuffs of all kind) and divide fast and frequently. They make sounds that are pleasing to most humanoids, but squeak at Klingons. Even Klingons that look like other races.
They do not have faces or legs. They are not sentient. They are dangerous. Android is in danger of being smothered by them, particularly if they get a sniff of the Tunnocks, or, heaven help us all, Cake. Deploy a Glommer, quick.
I suggest NYD should be spent watching The Trouble with Tribbles More Tribbles, More Troubles and Trials and Tribble-ations.