From the New York Times on July 16, 2025:

The primary elections that New York City uses to pick its mayors will remain unchanged, after a special panel that had been formulating a switch to an open primary system said on Wednesday that it would not put the proposal on the ballot this fall.

Having already noted my opposition to this proposal a few days ago, I count this news as positive. I suspect it would have been defeated in any event, but why take unnecessary chances?