Corrected entry: The entire plot of this episode is to get the cure for the disease from Section 31. Why would they create a cure for a disease designed to wipe out the species it infects? The likelihood of needing to know it so they know what to destroy is odd, as only the Dominion would really want the cure.
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Correction: It has been common for people and countries over the years that create diseases to at the same time create an antidote. As the Star Trek universe is somewhat based on human endeavours and experiences, its quite likely that an antidote would be created.
GalahadFairlight
The same reason they do it in this time period. In case an unintended target accidentally contracts the disease.