Boomiji?

Such friendship brings a tear to my eye

Playing some variation of red light/green light?

is she... completing her digestion?

shes pretending to feel sick so chen will drop her guard cmon people.

Chen doesn't seem to mind being faked out like that. Perhaps it's all part of their game.

I thought she was just catching her breath and afterwards the game was back afoot

We had a cat and dog like this a long time ago. Save that is was the cat who would stop suddenly to groom. The dog, not having breaks, would than run into the cat, causing both to tumble a bit. Than the cat would chase the dog around for a while.