Michael Burnham seems to have made "Solving 'The Burn'" her primary goal of this season and everything else is just a method to get to that point.
Michael Burnham was in no way shape or form involved in it or knows about it until she reads up on the history of it. Even then, the folks of the 24th century made a deliberate decision to mine the Wormhole to prevent re-inforcements, so it's a deliberate decision by the UFP / StarFleet to prevent a absolute loss against a innumerable amount of Dominion Forces.
Sisko & most of the 24th century didn't have access to Time Travel tech.
And I'm pretty sure the
SlingShot Effect AKA Light-Speed Breakaway factor formula is a closely guarded secret that only members of the DTI really know and general StarFleet isn't allowed to use it or know about it.