“The prime minister himself insisted there would be no permanent truce until Hamas’s military and governing capabilities were destroyed and all hostages released.”
You are giving me links that quote advisors that say Netanyahu is privately agreeing to the plan, but has not done so publicly. The NYTimes and your BBC link is talking about how Netanyahu is struggling with cabinet divisions right now, and if he agrees his coalition may collapse as the extreme right under Ben-Gvir and others pull out of the cabinet.
So you’re giving me rumors and private conjecture, Israel has NOT publicly accepted the deal at this time despite Biden optimistically saying they will this time, like he said multiple times this year including on Jimmy Fallon that a ceasefire was only days away.