Hi PaQ - unfortunately Extrude Tapered just does not know how to deal with opposite sides of the extrusion colliding into each other, it gets pretty complicated with anything more complex than just a rectangle like you're using.
If you want to do something really quick, you might try zooming in a ways so you can pick a height that leaves only a very small top flat piece that can't really be seen.
If you want to do it exactly maybe a reasonable way other than sweep could be like this - do the extrude tapered about halfway up, then use the line command and drag out construction lines along the angled edges with "tan" straight snap, so you can get an intersection snap at the exact top.
Now delete the top face of the extrusion, select the 3 long edges and run Construct > Loft with the "Loft Style = Straight" option set, then join the lofted piece with the extruded piece, then with that entire object selected run Construct > Planar.
- Michael
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