Don’t know if you have to do all in one playthrough but I did all on first playthrough of the mission.
Just follow the mission story ‘A Phoenix From The Ashes’ to trap Zoe in the effigy. Then follow ‘It Belongs In A Museum’.
You can kill Blake by dropping the chandelier on his head while he complains about the stolen necklace. Only bit I found slightly tricky was getting Blake’s clothes after that since they move the bodies to a locked tunnel and spot you if you stay too close even if you’re disguised as another guard of some kind. If you follow the guards with the body bags through the door you can swing left into another tunnel and just wait for them to leave you in there with the corpse. Door is not locked from inside. Don’t need to kill them.
Zoe’s switch will be in the burning effigy with her so just wait for killing Sophia to get hers.
Go talk to the Constant while in possession of a kill switch and walk him out to the boat.