The three oaths are (as copied from a Wiki):
- To speak no word that is not true
- To make no weapon with which one man may kill another
- Never to use the One Power as a weapon except against Darkfriends or Shadowspawn, or in the last extreme defense of her life, the life of her Warder, or another Aes Sedai
Keep in mind these oaths were agreed upon and made for the good of the world as a whole, as their power was seen as a threat to the world and the Aes Sedai adopted them to help the world feel safer, etc. But… yes, they suck. The intricacies of the 3 oaths and what they mean is a major plot architectural element throughout the series.
And as it relates to Batman… Aes Sedai are not seen as vigilantes, sadly. They can’t get away with doing stuff like that.
I’m not spoiling anything, but there will be plenty of pivotal and bloody moments like the “Red Wedding” later on down the road, trust me.