(Higgsas) Geometry Nodes Groups Blender 3.3/4.2

I also need it to sample UV at a point relative to a face
in → v1.co,v2.co,v3.co,target, uv1,uv2,uv3 → out uv of target point

it works for projection of geometry out of triangles like I do with a quad here

in → v1.co,v2.co,v3.co,target, t2_v1.co,t2_v2.co,t2_v3.co → out transformed target point

true_tesselate_fix2.blend (1.1 MB)

I can do it in pure bpy*
parametric_BPR_update.blend (2.3 MB)