9 Protections: 9 x 35% = 315%. that's only 3 refills to both bars. So, 4 or 5 would have been more. And if you didn't use the free 50 CP from PactMaker, each food gives 18 CP for 3 Piety (+2 then -5). So, actually, you could get even more CP, From 50, it will first -5 Piety, then from 45 Piety, another 15 more food to bring it to 0: So 16 Food gives 16 x 18 = 288 CP.
105 Food - 16 Food = 89 Food, remaining 89 Food gives 89 x 9 = 801 CP
So, in total, you could have got 288 + 801 = 1089 CP, that's already 5 refills, so 2 more refills than from protections.
You could have won,

[This is assuming you had 0 piety, but you had around 60 piety, so your 105 food could have been worth a lot more CP, theoretically, if you have enough piety, then, 105 Food gives 105 x 18 = 1890 CP, you don't need me to tell you how many refills this is right? A lot!]
Edit:
So, I realised I didn't take into account that when using Protections, you still had 105 Food for Conversion. That's 105 x 3 = 315 CP, about 1.5 Refills (170 + 180 = 350, so like 35 CP short of another refill). So, it could work out to roughly the same as 5 refills, but you had around 60 Piety, which if you used for Spirit Pact, should be able to give you more CP, should be enough for 6 refills that way. So Spirit Pact still gives you more. You could have won with 1 more refill, yeah so, it was close.