Wrapping a "real" label on a conical surface

I'm trying to figure out how to make a label that will wrap on a conical surface. So far I'm stumped. The real label on the real part ends up looking like it's arcing when it is applied. Not good for long labels, but OK for shorter ones. Usually I make labels .236 (6mm) wide X .005" thick with some variable length. Any ideas?

Thanks!

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