Try pushing the dash pad towards the front of the car then tilting the back edge of it downwards. That's how i got mine out with the front screen still installed. But I did find the front of the pad fouls on the screen rubber.

The demister vent screws only hold the plastic vent metal clips in. There are only 4 nuts that hold the upper dash pad in.

Cheers Shane

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If it's not a Cooper S, the mini was designed to be modified!