Found the solution and am posting here if anybody runs into the same problem:
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You’ve got to tell the engine that there are multiple players (I thought this was automatic, since 1 controller was recognized automatically)
→ this can be solved by creating local players in the Level Blueprint:
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then you can duplicate the first actor in the map and assign an other controller number to it (I had 0 for the first one and 1 for the second one) - and it works.
This video showed how to do the setup pictured above:
