(Last video was set to private by accident) This is the 1:09 Streets (King's Ransom) time I got yesterday after working out that:

A: Satchel Charge works for basement throw so we can skip grenades.

B: You can actually beat the assassin the walkway and get up before her saving about 2 Seconds.

This run isn't great, time can be saved in many areas including at the end of the run where you can save about a second on the guards, and another to good movement during the run. In total 1:07 is probably the lowest this run is going to go unless someone finds new tricks or strats.