If you arefreshout of something, you have justfinishedorsoldall of it, so that there is no moreleft:
Sheaskedthewaiterformangojuicebut they werefreshout.
"Could I have acroissant,please?" "Ah,apologies- we'refreshout."
I'msorry, there are nochocolatebrownies- we'refreshout of them.
"I'll take theblackbeanburger." "I'msorry- we'refreshout of theblackbeanburger, but we do have a thesouthwesternvegetariansandwichif you'reinterested."