For many months after she took over from Andrew Cuomo last Aug. 24, it was good enough for New York Gov. Kathy Hochul to be seeming to turn a page. Gone were her predecessor’s domineering ways. Gone were petty and vindictive fights with the leadership of New York City. Gone was most of the obfuscation on nursing home fatalities during COVID-19. Here was a humbler, genial, politically savvy chief executive who’d actually try to work with people for once. Thirty-three weeks in, Hochul enters the primary campaign season bearing scars of her own making. The state budget, an ideal opportunity to sh…