Gov. Kathy Hochul speaks at an office in midtown Manhattan. Stephen Yang for NY Post Gov. Kathy Hochul’s bid to delay some climate-law deadlines, which has helped hold up the now-one-month-late state budget deal, might make it seem like she cares about “affordability.” But proof keeps popping up that the gov has every intention of letting that law hit New Yorkers deep in their pocketbooks — after she’s safely re-elected. Hochul hopes to keep it all quiet, because the truth would expose her “affordability” promise as a big lie. Under the 2019 climate law, the gov was supposed to release a “cap and trade” plan by 2024 to slash private-sector greenhouse-gas emissions. But she knows that having any such program spelled out will make the ginormous costs to average New Yorkers impossible to hide — so she let the 2024 deadline pass without the plan But greens sued, and a judge found her in violation of the law, so now she wants the Legislature to move the deadline to 2028 (a retreat from her original ask, 2030).…