This is actually possible, the halfmoon ring would be wrapped around over to the top right, and the rest folded over and tucked in. I did a small informal research task on the folding patterns of McDonald's bun papers because I wanted to know why my cheese is stuck everywhere except my burger.
One time my friend made me a burger from the place we worked at and he put 10 slices of cheese on it. I thought there was never such a thing as "too much cheese", but that day I learned I was wrong.
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