To me, a brief look at dictionaries tend to say that a condition is a state. Which one says it's a fact?
If John has a certain condition (or is in a certain state), it's a fact that he is in that state, but that state is not a fact in itself.
'Cancer' is a condition. It isn't a fact. There is no truth value to the word 'cancer'. There is a truth value (of either true or false usually) to "John has cancer."
In colloquially speech, some people might say "Cancer is a fact" to mean that cancer exists, but that's not the usual meaning of 'fact'.
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