Despite the right tools, it was a struggle with an hour of sweating and swearing to get the head unit out.
The problem was that the tools always slipped under the spring plate (ie between the spring plate and the radio)

I had to remove the fascia around the head unit as well as the glovebox.
In order to remove the fascia, the middle console has to come out first, then the two screws at the bottom of the fascia removed. Finally, the fascia is pulled off (held by a clip on either side and two on top) when you pull it it feels as if it was about to crack...

The cigarette lighter cable has to be pulled off too of course.
Access to the head unit from the left hand side is easy since you can reach the outside of the unit with your hand and guide the tools. The right hand side was still a pain. One can push the spring plate a bit inwards through one of the rectangular holes the fascia clips in, which helps with engaging the tools.
Prying our the plastic plate between the radio buttons helped too as it allows for a better grip of the unit.
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