Illustrator - How to create one outline stroke for overlapping transparent objects?

I have some overlapping transparent paths in illustrator like:

The goal would be to create an outline stroke for that group of paths. Whatever I do with path combinations, it will destroy either colors, or delete some of the paths etc.

I tried with Shaper Tool. This let me select the single paths. But when applying stroke, they all get completely stroked:

But I would like to have it just around the outline contour. How can I do that?

1 Answer

1. Select all paths and copy them

2. Hide all paths

3. Paste in front

4. Unite all the shapes (Pathfinder window)

5. Apply the desired path and a fill of "None"

6. Unhide hidden paths

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