My name is Abhishek and I'm a mapper on the OSM team at Lyft.
I sincerely apologize for missing your comment. Currently, the most recent image with a sign we have is dated June 26th: https://drive.google.com/file/d/1mZj5Pd5ptRR-Dl8wP2dAlOTLPDxBsb9Q/view?usp=drive_link
There is also a no-left-turn sign for the south-to-west direction, with the image dated July 10th: https://drive.google.com/file/d/13ZRk0r93R_fGUSFR8ZRjg4MOXDvuWsmv/view?usp=drive_link
In any case, since there are turn restrictions for both directions, the best option here would be to add a one-way tag.
Thank you very much for your contribution to OSM and for providing a detailed explanation of your decisions in contentious cases. We sincerely apologize once again for such a delayed response.

Best regards, Abhishek