Modifying brep by Moving One Point

Is there a way to modify Brep by moving one point on the Brep?
I want to change the geometry by moving a point with black circle along the blue curve.

Not in polysurfaces. Only single surfaces.

Meshes and SubD can have points moved. The shape shown looks like it could be a mesh.

For poly surfaces explode it, the move the points of the surfaces.

to turn that surface into a mesh, i think you can use simple mesh component

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3. Attach minimal versions of all the relevant files

Thanks for replying!!
I’ve made it to mesh and got points.
Is there a way to select one point and move it?

Thanks for replying!!
Can my file work same way??

0406.3dm (188.1 KB)

Here is moving points: