Especially the lies.

From DS9's "The Wire".

I think the daughter of an important Cardassian military person was also an Obsidian Order operative and Garak's accomplice. My thinking is, that Garak let the Bajoran children go, but she noticed it, and planned to tell Tain. To avoid that, Garak had to off her, and so there was that minor shuttle incident. And hopefully fabricated Bajoran life signatures, too.

Another option is, that she picked up the children _after_ Garak let them go, and entered the shuttle with them, thinking, that Garak would not have the shuttle destroyed, because children. Since he knew anyway, that she was going to tell on him, Garak had no choice. A suboption is, that the children were in the shuttle, but Garak also learned about their demise post factum.

I like to think, that Garak must have been instrumental in how the Cardassian occupation of Bajor ended. Somehow, the Cardassian Central Command discovered, that Garak was complicit. (Dukat's fuming about Garak having killed Dukat's father, who was an archon (a Cardassian justice), seems to be an interesting piece of a puzzle.)

Enabran Tain couldn't have Garak killed, since Garak had to have had something very valuable with him, so Tain covered for his (former) right-hand-man, and Garak was exiled; with Tain hoping at least (or at best) to later bring the exile back into the fold, or else let him go. Tain's price for all that was, that he had to resign from being the head of the Obsidian Order.