[SOLVED] Merge faces and edges in shown example

I tried to erase the edges, but the edges on the side are straightened then – not too bad, and would be enough for my use case, but I am curious how to do better:

I also had the idea to export the object and edit it in for example AI:

There I have the problem later on how to combine the edges and have a face then to push / pull:

Here’s the *.SKP file BTW: Merge_Example.skp (2.1 MB)

I’ll try out the plugin mentioned before!