And before someone says the equivalent of "just blow them off the map" - this will likely be worse than Afganistan. North Yemen has been bombed for close to a decade already by Saudis and others, and the Saudis eventually decided to negotiate via Chinese mediation. I don't know ho likely it is to work, but splitting Yemen into recognized North Yemen and South Yemen may be a good diplomatic solution.

Or an easily thawed frozen conflict. The root problems are spelled Saudi Arabia vs Iran and almost certainly somewhere in the curtains, some Russian cheer leading.

Yeah they opened up diplomatic relations, under Chinese mediation, and so far nothing indicates a breakdown. Plus do not make the common mistake of not noticing agency - Houthi are quite effective political agents with their own agenda.

They have agency, but their force multiplier is weapons and money from Iran.

And who will do the splitting?

Yemen is currently split along mostly reasonable lines. It's just not recognized internationally (the most internationally legitimate government has de facto nothing to say in the north nor in the south).