It’s likely Blinkin helped convince the Israeli government that a total victory wasn’t really in the cards anymore and to agree to something.
Egypt was definitely doing the pressuring on Hamas.
Apparently, the Israeli and Hamas teams never spoke to each other. It went through unaligned Arab mediators. Nationalities haven’t been released yet but I’d be willing to bet money it was Egyptians.
Plus Egypt values its relationship with Israel for obvious reasons. They know as well as anyone does how easy it is to get dragged into Palestinian caused ■■■■ shows.
He wanted a feather in his cap before inauguration , didn’t want to deal with this headache after getting into office - and likely made some promises to Bibi about Iran and/or West Bank in the coming months.