Mesh texture color painting with blueprint construction scripts

Hi,

I use an Actor Blueprint with Construction Script to build my modular rooms conveniently, as I can easily decide which wall type should be in which position for each Actor.

Now I would also like to use Mesh Texture Color Painting on the Nanite meshes and at the beginning it always looks as if it would work, but after a restart of the engine, for example, the Mesh Paint Texture is no longer available.
This is probably due to the fact that the construction script creates new mesh instances after an engine restart that do not have a mesh paint texture. But does anyone have an idea how I can work around this problem? Is it possible to save the mesh paint texture somewhere so that it can be reloaded in the construction script?

Since I use Nanite with Mesh Texture Color Painting, I naturally switched to UE 5.5.