Looks like the signal LED module has died, or the LED driver.
If you have no warranty then it's going to cost unfortunately.
As it's toast, Even if you have a go gaining entry inside the unit, it's still going to have to be tested & faulty bit either fixed or replaced... probably of similar cost to sourcing an entire second hand lamp.
I'd just look to replace it tbh.
You could always try BMW for good will... as these are meant to last the life of the car.
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/// BM3 + M-Power ///
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