Auto merge overlaps vector layers?

I'm working with Photoshop 22.0.0 and I have a PSD containing more than 1000 dividual shape layers (vector layers). Many of these shapes overlap each other. For example:

Even if Shape 1 does not directly overlap Shape 4, they should all be considered part of the same connected group. So I need a Photoshop script that works as follows:

1. When I selects a single Shape Layer, the script will find all Shape Layers that overlap the selected layer.

2. All layers in that connected group should be merged into a single Shape Layer. Layers that are not connected to the group must remain untouched.

3. The final merged shape should use the appearance (fill/stroke/style) of the originally selected Shape Layer.

Thank you for your all help!