I just realized something. Now there's two Season 3 production days I just can't seem to sort. Assuming the day including The Much-Heralded Helmet of Sir Gawain was first, only two days could be last: the "icebergs" Moat day and the "slippery footpath" Moat day.
Now we all know that The Lost Whale Bone of Pytheas was Production Episode 115, and as outer space pointed out, the Temple Run for The Metal Beard of the Egyptian Queen was postponed until the "slippery footpath" day, making five Temple Runs that day.
So that means that if the "slippery footpath" day were last, The Lost Whale Bone of Pytheas would be the last episode on its day. It would only be third if the "icebergs" day were last. So we can use the Temple Games on the day with The Lost Whale Bone of Pytheas to figure out the production order.
The first episode that day was The Pearl Necklace of Gwalior, for at the Moat they crossed in a slightly different way then in the other episodes. And its Temple Games were:
And in The Dried Ear of Corn of Sojourner Truth the Temple Games were:
I forget the other two episodes, The Lost Whale Bone of Pytheas and The Bullet-Riddled Handbag of Belle Boyd. Do you guys remember?