The Romulans would probably be impressed by such machinations. I know the Cardassians would be.
That doesn't mean they'll put up with it though. Maybe they'll give Garak a state funeral after they assassinate him.
Honestly though, I don't ever see the truth coming out. Garak's definitely not going to blab and Sisko won't either. As for the faceless Starfleet Command personnel who approved this? Well I see Section 31 erasing all records of this and persuading anyone who saw them or was in on this that their lifespans would be more productive if they never spoke of it.