They make their episodes in like six days. There's probably a ton of room for last minute shit.
OR, they just made a lucky guess that the Pope would the POTY
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But my point is, to have Kim K., Kanye, and Pope Francis (as POTY) had to have been done all in one day. Time announced their POTY on Dec 11th, and that night, this episode aired. Now, they "could have" planned "whoever is going to be POTY, we will know that in the morning and we can make that scene with the most likely people, and then just insert whoever is named". But the scenes and story are very intertwined with Kanye and Kim as plot elements, they either HAD to have planned it all out (except for the POTY scene) in the week before air.