Plastic bubble wrap has marked my paintwork

[Hereward]

I had to park under a Silver Birch Tree for two nights. Due to the wind and rain, coupled with Silver Birch being the worst tree on the planet to park under, I wedged a few sheets of plastic bubble wrap under the wipers to stop billions of tree catkins clogging up the car's bulkhead drainage channels.

When I removed the plastic and washed the car I noticed the bubble wrap had marked the paintwork.

I used an Autoglym clay bar, lubricated with Autoglym Rapid Detailer then polished the area by hand with Autoglym Super Resin Polish, using reasonable circular pressure, but the marks have not improved whatsoever. The photo below is taken after the use of a clay bar and polish.

I suppose I need to try a more aggressive product. Any advice, please? The paint is BMW "Carbon Black". Thanks.