how to reorganize/sort points/vertices of a weaverbird WB mesh

Hi,

I'm trying to reorganize naked vertices into three groups by the three edges (2 circles & 1 hexagon), it worked perfectly with the original mesh I got from a surface, but after pluging into weaverbird, points aren't listed according to line anymore. So I'm just wondering how to reorganize the points so in a list they are in the order by what curve they're on?

Also I feel like the way I group my points even from the original mesh was quite manual and inefficient (by listing points according to their index in from a big list), I tried with SortAlongCurve, didn't work so I think it's probably the right command to do this? So is there a better way to do this?