I have been refreshing like mad my inventory with only:
Total Items: 5 (The maximum you should hold is 50.)
Apple and Cheese Sandwich
(rare)
Quadruple Fudge Cheese
(RARITY 112)
Drackonack
(uncommon)
1/3 Cheese and Onion Omelette
(RARITY 118)
2/3 Cheese and Onion Omelette
(RARITY 118)
And doesn't even happen.
