Gavin Newsom is making nice with Halle Berry after the two clashed over the California governor twice vetoing a state menopause health bill ... and our sources say HB won the battle in the end.

As you know, Halle gave a scathing speech Wednesday at the New York Times' DealBook Summit, where she slammed Newsom for killing the menopause bill while noting he will not be governor forever and probably should not be the country's next president.

On Wednesday night, Newsom's rep issued a statement, saying the governor deeply admires Halle's advocacy and looks forward to working with her on this "critical issue." The rep added Newsom vetoed the bill because it would have "unintentionally raised health care costs for millions of working women and working families already stretched thin.

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