First of all, you're trying to do something that Photoshop simply was not built for, and is very insufficient for. If you want to recombine render elements like this, you'll need at least After Effects, but Fusion or Nuke would be better. Hell, even Blender's compositing tools are better suited for this. Or Autodesk Composite, I guess?
Secondly, screen is a nonlinear add function, and lighten simply picks the brightest value. You'll want linear dodge, which is just a straight-up add.