I had this problem, as well as the crash at the end of Kasumi Goto's Loyalty mission. Short answer fix: load the final part of the mission and finish it on an older computer. I have a powerful gaming computer, and decided to play this series again (for the 4th time). It wasn't until I started playing with a powerful computer that I began to have problems. I also noticed other players having problems while playing with newer, higher performing computers.
I just switched back to my older HP and easily played these missions through...no glitches, no freezing. I saved, and then went back to my gaming computer. I am playing through ORIGIN. Good luck