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At first, different levels would have different requirements and you would be able to get more slices  along the way. Also, the levels would have different routes that you could go and there would be multiple parts where you wouldn't be forced to use the cake if you were skilled enough, so it would have some elements of managing these resources while not using all the slices.

In the end I overestimated my level design capabilities and it ended up not having these elements =)