Well there’s zero chance Macron will resign, so we’ll need to consider the other options…

So, his attempt to co-opt the far right into supporting his agenda failed, so he either has to make more concessions to RN to get them onboard (doesn’t really matter who the PM is, more what he will promise to get their support. Or he will try and get the NFP to agree to his agenda…which they won’t particularly after shunning them and refusing talks.

So, it’s either play a game of appointing PMs who lose confidence votes to run out the clock, or Macron making concessions to one side.

I’m betting on running out the clock, he seems utterly unwilling to negotiate with the left, and if he rolls over for the right the centrists get annihilated next election